Finding the Fourth Proportional to 10,641.80, 14,684.73 and 6,164.12

Step by Step Solution

1. Step 1: Write the proportion equation
   10,641.80 : 14,684.73 = 6,164.12 : x
2. Step 2: Convert to fraction form
   10,641.80/14,684.73 = 6,164.12/x
3. Step 3: Cross multiply
   10,641.80x = 14,684.73 × 6,164.12
4. Step 4: Simplify right side
   10,641.80x = 90,518,437.89
5. Step 5: Solve for x
   x = 90,518,437.89/10,641.80
6. Step 6: Final answer
   x = 8,505.93