Finding the Fourth Proportional to 5,644.40, 8,461.20 and 5,061.20

Step by Step Solution

1. Step 1: Write the proportion equation
   5,644.40 : 8,461.20 = 5,061.20 : x
2. Step 2: Convert to fraction form
   5,644.40/8,461.20 = 5,061.20/x
3. Step 3: Cross multiply
   5,644.40x = 8,461.20 × 5,061.20
4. Step 4: Simplify right side
   5,644.40x = 42,823,825.44
5. Step 5: Solve for x
   x = 42,823,825.44/5,644.40
6. Step 6: Final answer
   x = 7,586.96