Finding the Fourth Proportional to 14,642.40, 21,965.10 and 4,782.42

Step by Step Solution

1. Step 1: Write the proportion equation
   14,642.40 : 21,965.10 = 4,782.42 : x
2. Step 2: Convert to fraction form
   14,642.40/21,965.10 = 4,782.42/x
3. Step 3: Cross multiply
   14,642.40x = 21,965.10 × 4,782.42
4. Step 4: Simplify right side
   14,642.40x = 105,046,333.54
5. Step 5: Solve for x
   x = 105,046,333.54/14,642.40
6. Step 6: Final answer
   x = 7,174.12