Finding the Fourth Proportional to 9,625.59, 13,283.43 and 5,646.77

Step by Step Solution

1. Step 1: Write the proportion equation
   9,625.59 : 13,283.43 = 5,646.77 : x
2. Step 2: Convert to fraction form
   9,625.59/13,283.43 = 5,646.77/x
3. Step 3: Cross multiply
   9,625.59x = 13,283.43 × 5,646.77
4. Step 4: Simplify right side
   9,625.59x = 75,008,445.79
5. Step 5: Solve for x
   x = 75,008,445.79/9,625.59
6. Step 6: Final answer
   x = 7,792.61