Finding the Fourth Proportional to 9,291.93, 12,819.77 and 5,258.20

Step by Step Solution

1. Step 1: Write the proportion equation
   9,291.93 : 12,819.77 = 5,258.20 : x
2. Step 2: Convert to fraction form
   9,291.93/12,819.77 = 5,258.20/x
3. Step 3: Cross multiply
   9,291.93x = 12,819.77 × 5,258.20
4. Step 4: Simplify right side
   9,291.93x = 67,408,900.03
5. Step 5: Solve for x
   x = 67,408,900.03/9,291.93
6. Step 6: Final answer
   x = 7,254.56