Finding the Fourth Proportional to 1,061.12, 1,591.77 and 411.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.12 : 1,591.77 = 411.86 : x
2. Step 2: Convert to fraction form
   1,061.12/1,591.77 = 411.86/x
3. Step 3: Cross multiply
   1,061.12x = 1,591.77 × 411.86
4. Step 4: Simplify right side
   1,061.12x = 655,586.39
5. Step 5: Solve for x
   x = 655,586.39/1,061.12
6. Step 6: Final answer
   x = 617.82