Finding the Fourth Proportional to 1,061.80, 1,592.16 and 412.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.80 : 1,592.16 = 412.72 : x
2. Step 2: Convert to fraction form
   1,061.80/1,592.16 = 412.72/x
3. Step 3: Cross multiply
   1,061.80x = 1,592.16 × 412.72
4. Step 4: Simplify right side
   1,061.80x = 657,116.28
5. Step 5: Solve for x
   x = 657,116.28/1,061.80
6. Step 6: Final answer
   x = 618.87