Finding the Fourth Proportional to 14,640.72, 21,965.64 and 4,782

Step by Step Solution

1. Step 1: Write the proportion equation
   14,640.72 : 21,965.64 = 4,782 : x
2. Step 2: Convert to fraction form
   14,640.72/21,965.64 = 4,782/x
3. Step 3: Cross multiply
   14,640.72x = 21,965.64 × 4,782
4. Step 4: Simplify right side
   14,640.72x = 105,039,690.48
5. Step 5: Solve for x
   x = 105,039,690.48/14,640.72
6. Step 6: Final answer
   x = 7,174.49