Finding the Fourth Proportional to 1,061.34, 1,590.25 and 411.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.34 : 1,590.25 = 411.72 : x
2. Step 2: Convert to fraction form
   1,061.34/1,590.25 = 411.72/x
3. Step 3: Cross multiply
   1,061.34x = 1,590.25 × 411.72
4. Step 4: Simplify right side
   1,061.34x = 654,737.73
5. Step 5: Solve for x
   x = 654,737.73/1,061.34
6. Step 6: Final answer
   x = 616.90