Finding the Fourth Proportional to 9,625.34, 13,283.08 and 5,646.52

Step by Step Solution

1. Step 1: Write the proportion equation
   9,625.34 : 13,283.08 = 5,646.52 : x
2. Step 2: Convert to fraction form
   9,625.34/13,283.08 = 5,646.52/x
3. Step 3: Cross multiply
   9,625.34x = 13,283.08 × 5,646.52
4. Step 4: Simplify right side
   9,625.34x = 75,003,176.88
5. Step 5: Solve for x
   x = 75,003,176.88/9,625.34
6. Step 6: Final answer
   x = 7,792.26