Finding the Fourth Proportional to 1,402.42, 1,935.28 and 772.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,402.42 : 1,935.28 = 772.96 : x
2. Step 2: Convert to fraction form
   1,402.42/1,935.28 = 772.96/x
3. Step 3: Cross multiply
   1,402.42x = 1,935.28 × 772.96
4. Step 4: Simplify right side
   1,402.42x = 1,495,894.03
5. Step 5: Solve for x
   x = 1,495,894.03/1,402.42
6. Step 6: Final answer
   x = 1,066.65