Finding the Fourth Proportional to 9,290.50, 12,822.51 and 5,564.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,290.50 : 12,822.51 = 5,564.50 : x
2. Step 2: Convert to fraction form
   9,290.50/12,822.51 = 5,564.50/x
3. Step 3: Cross multiply
   9,290.50x = 12,822.51 × 5,564.50
4. Step 4: Simplify right side
   9,290.50x = 71,350,856.90
5. Step 5: Solve for x
   x = 71,350,856.90/9,290.50
6. Step 6: Final answer
   x = 7,679.98