Finding the Fourth Proportional to 1,105.65, 1,526.24 and 807.17

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.65 : 1,526.24 = 807.17 : x
2. Step 2: Convert to fraction form
   1,105.65/1,526.24 = 807.17/x
3. Step 3: Cross multiply
   1,105.65x = 1,526.24 × 807.17
4. Step 4: Simplify right side
   1,105.65x = 1,231,929.53
5. Step 5: Solve for x
   x = 1,231,929.53/1,105.65
6. Step 6: Final answer
   x = 1,114.21