Finding the Fourth Proportional to 2,978.38, 4,469.10 and 1,420.15

Step by Step Solution

1. Step 1: Write the proportion equation
   2,978.38 : 4,469.10 = 1,420.15 : x
2. Step 2: Convert to fraction form
   2,978.38/4,469.10 = 1,420.15/x
3. Step 3: Cross multiply
   2,978.38x = 4,469.10 × 1,420.15
4. Step 4: Simplify right side
   2,978.38x = 6,346,792.37
5. Step 5: Solve for x
   x = 6,346,792.37/2,978.38
6. Step 6: Final answer
   x = 2,130.95