Finding the Fourth Proportional to 2,978.10, 4,110.60 and 1,783.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,978.10 : 4,110.60 = 1,783.50 : x
2. Step 2: Convert to fraction form
   2,978.10/4,110.60 = 1,783.50/x
3. Step 3: Cross multiply
   2,978.10x = 4,110.60 × 1,783.50
4. Step 4: Simplify right side
   2,978.10x = 7,331,255.10
5. Step 5: Solve for x
   x = 7,331,255.10/2,978.10
6. Step 6: Final answer
   x = 2,461.72