Finding the Fourth Proportional to 9,625.57, 13,283.50 and 5,649.55

Step by Step Solution

1. Step 1: Write the proportion equation
   9,625.57 : 13,283.50 = 5,649.55 : x
2. Step 2: Convert to fraction form
   9,625.57/13,283.50 = 5,649.55/x
3. Step 3: Cross multiply
   9,625.57x = 13,283.50 × 5,649.55
4. Step 4: Simplify right side
   9,625.57x = 75,045,731.01
5. Step 5: Solve for x
   x = 75,045,731.01/9,625.57
6. Step 6: Final answer
   x = 7,796.50