Finding the Fourth Proportional to 10,641.46, 14,684.88 and 5,925.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,641.46 : 14,684.88 = 5,925.50 : x
2. Step 2: Convert to fraction form
   10,641.46/14,684.88 = 5,925.50/x
3. Step 3: Cross multiply
   10,641.46x = 14,684.88 × 5,925.50
4. Step 4: Simplify right side
   10,641.46x = 87,015,256.44
5. Step 5: Solve for x
   x = 87,015,256.44/10,641.46
6. Step 6: Final answer
   x = 8,177.00