Finding the Fourth Proportional to 1,061.54, 1,591.62 and 412.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.54 : 1,591.62 = 412.34 : x
2. Step 2: Convert to fraction form
   1,061.54/1,591.62 = 412.34/x
3. Step 3: Cross multiply
   1,061.54x = 1,591.62 × 412.34
4. Step 4: Simplify right side
   1,061.54x = 656,288.59
5. Step 5: Solve for x
   x = 656,288.59/1,061.54
6. Step 6: Final answer
   x = 618.24