Finding the Fourth Proportional to 14,498.40, 21,746.88 and 5,138.25

Step by Step Solution

1. Step 1: Write the proportion equation
   14,498.40 : 21,746.88 = 5,138.25 : x
2. Step 2: Convert to fraction form
   14,498.40/21,746.88 = 5,138.25/x
3. Step 3: Cross multiply
   14,498.40x = 21,746.88 × 5,138.25
4. Step 4: Simplify right side
   14,498.40x = 111,740,906.16
5. Step 5: Solve for x
   x = 111,740,906.16/14,498.40
6. Step 6: Final answer
   x = 7,707.12