Finding the Fourth Proportional to 9,290.25, 12,822.17 and 5,564.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,290.25 : 12,822.17 = 5,564.25 : x
2. Step 2: Convert to fraction form
   9,290.25/12,822.17 = 5,564.25/x
3. Step 3: Cross multiply
   9,290.25x = 12,822.17 × 5,564.25
4. Step 4: Simplify right side
   9,290.25x = 71,345,731.60
5. Step 5: Solve for x
   x = 71,345,731.60/9,290.25
6. Step 6: Final answer
   x = 7,679.64