Finding the Fourth Proportional to 1,059.12, 1,462.08 and 864.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,059.12 : 1,462.08 = 864.72 : x
2. Step 2: Convert to fraction form
   1,059.12/1,462.08 = 864.72/x
3. Step 3: Cross multiply
   1,059.12x = 1,462.08 × 864.72
4. Step 4: Simplify right side
   1,059.12x = 1,264,289.82
5. Step 5: Solve for x
   x = 1,264,289.82/1,059.12
6. Step 6: Final answer
   x = 1,193.72