Finding the Fourth Proportional to 1,101.50, 1,517.88 and 786.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,101.50 : 1,517.88 = 786.22 : x
2. Step 2: Convert to fraction form
   1,101.50/1,517.88 = 786.22/x
3. Step 3: Cross multiply
   1,101.50x = 1,517.88 × 786.22
4. Step 4: Simplify right side
   1,101.50x = 1,193,387.61
5. Step 5: Solve for x
   x = 1,193,387.61/1,101.50
6. Step 6: Final answer
   x = 1,083.42