Finding the Fourth Proportional to 1,402.11, 1,934.89 and 772.65

Step by Step Solution

1. Step 1: Write the proportion equation
   1,402.11 : 1,934.89 = 772.65 : x
2. Step 2: Convert to fraction form
   1,402.11/1,934.89 = 772.65/x
3. Step 3: Cross multiply
   1,402.11x = 1,934.89 × 772.65
4. Step 4: Simplify right side
   1,402.11x = 1,494,990.83
5. Step 5: Solve for x
   x = 1,494,990.83/1,402.11
6. Step 6: Final answer
   x = 1,066.24