Finding the Fourth Proportional to 1,007.42, 1,510.18 and 391.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,007.42 : 1,510.18 = 391.52 : x
2. Step 2: Convert to fraction form
   1,007.42/1,510.18 = 391.52/x
3. Step 3: Cross multiply
   1,007.42x = 1,510.18 × 391.52
4. Step 4: Simplify right side
   1,007.42x = 591,265.67
5. Step 5: Solve for x
   x = 591,265.67/1,007.42
6. Step 6: Final answer
   x = 586.91