Finding the Fourth Proportional to 1,061.29, 1,592.34 and 412.07

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.29 : 1,592.34 = 412.07 : x
2. Step 2: Convert to fraction form
   1,061.29/1,592.34 = 412.07/x
3. Step 3: Cross multiply
   1,061.29x = 1,592.34 × 412.07
4. Step 4: Simplify right side
   1,061.29x = 656,153.48
5. Step 5: Solve for x
   x = 656,153.48/1,061.29
6. Step 6: Final answer
   x = 618.26