Finding the Fourth Proportional to 1,402.24, 1,935.10 and 772.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,402.24 : 1,935.10 = 772.82 : x
2. Step 2: Convert to fraction form
   1,402.24/1,935.10 = 772.82/x
3. Step 3: Cross multiply
   1,402.24x = 1,935.10 × 772.82
4. Step 4: Simplify right side
   1,402.24x = 1,495,483.98
5. Step 5: Solve for x
   x = 1,495,483.98/1,402.24
6. Step 6: Final answer
   x = 1,066.50