Finding the Fourth Proportional to 1,061.56, 1,592.61 and 412.07

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.56 : 1,592.61 = 412.07 : x
2. Step 2: Convert to fraction form
   1,061.56/1,592.61 = 412.07/x
3. Step 3: Cross multiply
   1,061.56x = 1,592.61 × 412.07
4. Step 4: Simplify right side
   1,061.56x = 656,264.74
5. Step 5: Solve for x
   x = 656,264.74/1,061.56
6. Step 6: Final answer
   x = 618.21