Finding the Fourth Proportional to 1,402.30, 1,935.16 and 772.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,402.30 : 1,935.16 = 772.83 : x
2. Step 2: Convert to fraction form
   1,402.30/1,935.16 = 772.83/x
3. Step 3: Cross multiply
   1,402.30x = 1,935.16 × 772.83
4. Step 4: Simplify right side
   1,402.30x = 1,495,549.70
5. Step 5: Solve for x
   x = 1,495,549.70/1,402.30
6. Step 6: Final answer
   x = 1,066.50