Finding the Fourth Proportional to 1,414.71, 1,952.13 and 785.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,414.71 : 1,952.13 = 785.22 : x
2. Step 2: Convert to fraction form
   1,414.71/1,952.13 = 785.22/x
3. Step 3: Cross multiply
   1,414.71x = 1,952.13 × 785.22
4. Step 4: Simplify right side
   1,414.71x = 1,532,851.52
5. Step 5: Solve for x
   x = 1,532,851.52/1,414.71
6. Step 6: Final answer
   x = 1,083.51