Finding the Fourth Proportional to 14,468.48, 21,697.20 and 5,106.75

Step by Step Solution

1. Step 1: Write the proportion equation
   14,468.48 : 21,697.20 = 5,106.75 : x
2. Step 2: Convert to fraction form
   14,468.48/21,697.20 = 5,106.75/x
3. Step 3: Cross multiply
   14,468.48x = 21,697.20 × 5,106.75
4. Step 4: Simplify right side
   14,468.48x = 110,802,216.78
5. Step 5: Solve for x
   x = 110,802,216.78/14,468.48
6. Step 6: Final answer
   x = 7,658.18