Finding the Fourth Proportional to 1,402.24, 1,934.64 and 781.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,402.24 : 1,934.64 = 781.12 : x
2. Step 2: Convert to fraction form
   1,402.24/1,934.64 = 781.12/x
3. Step 3: Cross multiply
   1,402.24x = 1,934.64 × 781.12
4. Step 4: Simplify right side
   1,402.24x = 1,511,186.00
5. Step 5: Solve for x
   x = 1,511,186.00/1,402.24
6. Step 6: Final answer
   x = 1,077.69