Finding the Fourth Proportional to 9,238.64, 12,749.42 and 5,259.74

Step by Step Solution

1. Step 1: Write the proportion equation
   9,238.64 : 12,749.42 = 5,259.74 : x
2. Step 2: Convert to fraction form
   9,238.64/12,749.42 = 5,259.74/x
3. Step 3: Cross multiply
   9,238.64x = 12,749.42 × 5,259.74
4. Step 4: Simplify right side
   9,238.64x = 67,058,679.37
5. Step 5: Solve for x
   x = 67,058,679.37/9,238.64
6. Step 6: Final answer
   x = 7,258.51