Finding the Fourth Proportional to 1,061.67, 1,592.50 and 412.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.67 : 1,592.50 = 412.55 : x
2. Step 2: Convert to fraction form
   1,061.67/1,592.50 = 412.55/x
3. Step 3: Cross multiply
   1,061.67x = 1,592.50 × 412.55
4. Step 4: Simplify right side
   1,061.67x = 656,988.82
5. Step 5: Solve for x
   x = 656,988.82/1,061.67
6. Step 6: Final answer
   x = 618.83