Finding the Fourth Proportional to 1,101.14, 1,517.72 and 914.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,101.14 : 1,517.72 = 914.02 : x
2. Step 2: Convert to fraction form
   1,101.14/1,517.72 = 914.02/x
3. Step 3: Cross multiply
   1,101.14x = 1,517.72 × 914.02
4. Step 4: Simplify right side
   1,101.14x = 1,387,226.43
5. Step 5: Solve for x
   x = 1,387,226.43/1,101.14
6. Step 6: Final answer
   x = 1,259.81