Finding the Fourth Proportional to 9,625.59, 13,284.54 and 5,646.69

Step by Step Solution

1. Step 1: Write the proportion equation
   9,625.59 : 13,284.54 = 5,646.69 : x
2. Step 2: Convert to fraction form
   9,625.59/13,284.54 = 5,646.69/x
3. Step 3: Cross multiply
   9,625.59x = 13,284.54 × 5,646.69
4. Step 4: Simplify right side
   9,625.59x = 75,013,679.17
5. Step 5: Solve for x
   x = 75,013,679.17/9,625.59
6. Step 6: Final answer
   x = 7,793.15