Finding the Fourth Proportional to 1,105.83, 1,656.32 and 781.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.83 : 1,656.32 = 781.47 : x
2. Step 2: Convert to fraction form
   1,105.83/1,656.32 = 781.47/x
3. Step 3: Cross multiply
   1,105.83x = 1,656.32 × 781.47
4. Step 4: Simplify right side
   1,105.83x = 1,294,360.48
5. Step 5: Solve for x
   x = 1,294,360.48/1,105.83
6. Step 6: Final answer
   x = 1,170.49