Finding the Fourth Proportional to 1,061.10, 1,591.65 and 412.29

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.10 : 1,591.65 = 412.29 : x
2. Step 2: Convert to fraction form
   1,061.10/1,591.65 = 412.29/x
3. Step 3: Cross multiply
   1,061.10x = 1,591.65 × 412.29
4. Step 4: Simplify right side
   1,061.10x = 656,221.38
5. Step 5: Solve for x
   x = 656,221.38/1,061.10
6. Step 6: Final answer
   x = 618.44