Finding the Fourth Proportional to 9,291.57, 12,822.18 and 5,258.34

Step by Step Solution

1. Step 1: Write the proportion equation
   9,291.57 : 12,822.18 = 5,258.34 : x
2. Step 2: Convert to fraction form
   9,291.57/12,822.18 = 5,258.34/x
3. Step 3: Cross multiply
   9,291.57x = 12,822.18 × 5,258.34
4. Step 4: Simplify right side
   9,291.57x = 67,423,381.98
5. Step 5: Solve for x
   x = 67,423,381.98/9,291.57
6. Step 6: Final answer
   x = 7,256.40