Finding the Fourth Proportional to 1,402.31, 1,935.23 and 772.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,402.31 : 1,935.23 = 772.88 : x
2. Step 2: Convert to fraction form
   1,402.31/1,935.23 = 772.88/x
3. Step 3: Cross multiply
   1,402.31x = 1,935.23 × 772.88
4. Step 4: Simplify right side
   1,402.31x = 1,495,700.56
5. Step 5: Solve for x
   x = 1,495,700.56/1,402.31
6. Step 6: Final answer
   x = 1,066.60