Finding the Fourth Proportional to 1,002.28, 1,501.37 and 590.17

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.28 : 1,501.37 = 590.17 : x
2. Step 2: Convert to fraction form
   1,002.28/1,501.37 = 590.17/x
3. Step 3: Cross multiply
   1,002.28x = 1,501.37 × 590.17
4. Step 4: Simplify right side
   1,002.28x = 886,061.86
5. Step 5: Solve for x
   x = 886,061.86/1,002.28
6. Step 6: Final answer
   x = 884.05