Finding the Fourth Proportional to 1,105.59, 1,656.77 and 781.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.59 : 1,656.77 = 781.59 : x
2. Step 2: Convert to fraction form
   1,105.59/1,656.77 = 781.59/x
3. Step 3: Cross multiply
   1,105.59x = 1,656.77 × 781.59
4. Step 4: Simplify right side
   1,105.59x = 1,294,910.96
5. Step 5: Solve for x
   x = 1,294,910.96/1,105.59
6. Step 6: Final answer
   x = 1,171.24