Finding the Fourth Proportional to 1,402.69, 1,935.71 and 781.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,402.69 : 1,935.71 = 781.69 : x
2. Step 2: Convert to fraction form
   1,402.69/1,935.71 = 781.69/x
3. Step 3: Cross multiply
   1,402.69x = 1,935.71 × 781.69
4. Step 4: Simplify right side
   1,402.69x = 1,513,125.15
5. Step 5: Solve for x
   x = 1,513,125.15/1,402.69
6. Step 6: Final answer
   x = 1,078.73