Finding the Fourth Proportional to 14,535.44, 21,815.61 and 5,776.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,535.44 : 21,815.61 = 5,776.50 : x
2. Step 2: Convert to fraction form
   14,535.44/21,815.61 = 5,776.50/x
3. Step 3: Cross multiply
   14,535.44x = 21,815.61 × 5,776.50
4. Step 4: Simplify right side
   14,535.44x = 126,017,871.17
5. Step 5: Solve for x
   x = 126,017,871.17/14,535.44
6. Step 6: Final answer
   x = 8,669.70