Finding the Fourth Proportional to 1,061.10, 1,461.24 and 865.08

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.10 : 1,461.24 = 865.08 : x
2. Step 2: Convert to fraction form
   1,061.10/1,461.24 = 865.08/x
3. Step 3: Cross multiply
   1,061.10x = 1,461.24 × 865.08
4. Step 4: Simplify right side
   1,061.10x = 1,264,089.50
5. Step 5: Solve for x
   x = 1,264,089.50/1,061.10
6. Step 6: Final answer
   x = 1,191.30