Finding the Fourth Proportional to 1,061.56, 1,591.56 and 412

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.56 : 1,591.56 = 412 : x
2. Step 2: Convert to fraction form
   1,061.56/1,591.56 = 412/x
3. Step 3: Cross multiply
   1,061.56x = 1,591.56 × 412
4. Step 4: Simplify right side
   1,061.56x = 655,722.72
5. Step 5: Solve for x
   x = 655,722.72/1,061.56
6. Step 6: Final answer
   x = 617.70