Finding the Fourth Proportional to 1,092.72, 1,505.86 and 781.68

Step by Step Solution

1. Step 1: Write the proportion equation
   1,092.72 : 1,505.86 = 781.68 : x
2. Step 2: Convert to fraction form
   1,092.72/1,505.86 = 781.68/x
3. Step 3: Cross multiply
   1,092.72x = 1,505.86 × 781.68
4. Step 4: Simplify right side
   1,092.72x = 1,177,100.64
5. Step 5: Solve for x
   x = 1,177,100.64/1,092.72
6. Step 6: Final answer
   x = 1,077.22