Finding the Fourth Proportional to 20,685.83, 31,024.89 and 6,646.10

Step by Step Solution

1. Step 1: Write the proportion equation
   20,685.83 : 31,024.89 = 6,646.10 : x
2. Step 2: Convert to fraction form
   20,685.83/31,024.89 = 6,646.10/x
3. Step 3: Cross multiply
   20,685.83x = 31,024.89 × 6,646.10
4. Step 4: Simplify right side
   20,685.83x = 206,194,366.30
5. Step 5: Solve for x
   x = 206,194,366.30/20,685.83
6. Step 6: Final answer
   x = 9,967.91