Finding the Fourth Proportional to 1,061.45, 1,592.78 and 412.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.45 : 1,592.78 = 412.10 : x
2. Step 2: Convert to fraction form
   1,061.45/1,592.78 = 412.10/x
3. Step 3: Cross multiply
   1,061.45x = 1,592.78 × 412.10
4. Step 4: Simplify right side
   1,061.45x = 656,374.61
5. Step 5: Solve for x
   x = 656,374.61/1,061.45
6. Step 6: Final answer
   x = 618.38