Finding the Fourth Proportional to 1,007.24, 1,510.52 and 391.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,007.24 : 1,510.52 = 391.15 : x
2. Step 2: Convert to fraction form
   1,007.24/1,510.52 = 391.15/x
3. Step 3: Cross multiply
   1,007.24x = 1,510.52 × 391.15
4. Step 4: Simplify right side
   1,007.24x = 590,847.38
5. Step 5: Solve for x
   x = 590,847.38/1,007.24
6. Step 6: Final answer
   x = 586.60