Finding the Fourth Proportional to 1,061.05, 1,591.71 and 411.70

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.05 : 1,591.71 = 411.70 : x
2. Step 2: Convert to fraction form
   1,061.05/1,591.71 = 411.70/x
3. Step 3: Cross multiply
   1,061.05x = 1,591.71 × 411.70
4. Step 4: Simplify right side
   1,061.05x = 655,307.01
5. Step 5: Solve for x
   x = 655,307.01/1,061.05
6. Step 6: Final answer
   x = 617.60