Finding the Fourth Proportional to 307,578.10, 460,978.35 and 274,141.30

Step by Step Solution

1. Step 1: Write the proportion equation
   307,578.10 : 460,978.35 = 274,141.30 : x
2. Step 2: Convert to fraction form
   307,578.10/460,978.35 = 274,141.30/x
3. Step 3: Cross multiply
   307,578.10x = 460,978.35 × 274,141.30
4. Step 4: Simplify right side
   307,578.10x = 126,373,204,140.86
5. Step 5: Solve for x
   x = 126,373,204,140.86/307,578.10
6. Step 6: Final answer
   x = 410,865.42