Finding the Fourth Proportional to 9,291.29, 12,822.17 and 5,258.30

Step by Step Solution

1. Step 1: Write the proportion equation
   9,291.29 : 12,822.17 = 5,258.30 : x
2. Step 2: Convert to fraction form
   9,291.29/12,822.17 = 5,258.30/x
3. Step 3: Cross multiply
   9,291.29x = 12,822.17 × 5,258.30
4. Step 4: Simplify right side
   9,291.29x = 67,422,726.11
5. Step 5: Solve for x
   x = 67,422,726.11/9,291.29
6. Step 6: Final answer
   x = 7,256.56