Finding the Fourth Proportional to 9,291.57, 12,823.04 and 5,312.58

Step by Step Solution

1. Step 1: Write the proportion equation
   9,291.57 : 12,823.04 = 5,312.58 : x
2. Step 2: Convert to fraction form
   9,291.57/12,823.04 = 5,312.58/x
3. Step 3: Cross multiply
   9,291.57x = 12,823.04 × 5,312.58
4. Step 4: Simplify right side
   9,291.57x = 68,123,399.28
5. Step 5: Solve for x
   x = 68,123,399.28/9,291.57
6. Step 6: Final answer
   x = 7,331.74