Finding the Fourth Proportional to 10,641.48, 14,687.82 and 6,164.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,641.48 : 14,687.82 = 6,164.50 : x
2. Step 2: Convert to fraction form
   10,641.48/14,687.82 = 6,164.50/x
3. Step 3: Cross multiply
   10,641.48x = 14,687.82 × 6,164.50
4. Step 4: Simplify right side
   10,641.48x = 90,543,066.39
5. Step 5: Solve for x
   x = 90,543,066.39/10,641.48
6. Step 6: Final answer
   x = 8,508.50