Finding the Fourth Proportional to 14,638.32, 21,958.46 and 5,149.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,638.32 : 21,958.46 = 5,149.50 : x
2. Step 2: Convert to fraction form
   14,638.32/21,958.46 = 5,149.50/x
3. Step 3: Cross multiply
   14,638.32x = 21,958.46 × 5,149.50
4. Step 4: Simplify right side
   14,638.32x = 113,075,089.77
5. Step 5: Solve for x
   x = 113,075,089.77/14,638.32
6. Step 6: Final answer
   x = 7,724.59