Finding the Fourth Proportional to 1,402.28, 1,935.16 and 772.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,402.28 : 1,935.16 = 772.82 : x
2. Step 2: Convert to fraction form
   1,402.28/1,935.16 = 772.82/x
3. Step 3: Cross multiply
   1,402.28x = 1,935.16 × 772.82
4. Step 4: Simplify right side
   1,402.28x = 1,495,530.35
5. Step 5: Solve for x
   x = 1,495,530.35/1,402.28
6. Step 6: Final answer
   x = 1,066.50