Finding the Fourth Proportional to 10,640.61, 14,681.80 and 6,164.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,640.61 : 14,681.80 = 6,164.10 : x
2. Step 2: Convert to fraction form
   10,640.61/14,681.80 = 6,164.10/x
3. Step 3: Cross multiply
   10,640.61x = 14,681.80 × 6,164.10
4. Step 4: Simplify right side
   10,640.61x = 90,500,031.27
5. Step 5: Solve for x
   x = 90,500,031.27/10,640.61
6. Step 6: Final answer
   x = 8,505.15