Finding the Fourth Proportional to 1,061.16, 1,591.50 and 411.84

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.16 : 1,591.50 = 411.84 : x
2. Step 2: Convert to fraction form
   1,061.16/1,591.50 = 411.84/x
3. Step 3: Cross multiply
   1,061.16x = 1,591.50 × 411.84
4. Step 4: Simplify right side
   1,061.16x = 655,443.36
5. Step 5: Solve for x
   x = 655,443.36/1,061.16
6. Step 6: Final answer
   x = 617.67