Finding the Fourth Proportional to 10,022.32, 13,828.89 and 6,485.05

Step by Step Solution

1. Step 1: Write the proportion equation
   10,022.32 : 13,828.89 = 6,485.05 : x
2. Step 2: Convert to fraction form
   10,022.32/13,828.89 = 6,485.05/x
3. Step 3: Cross multiply
   10,022.32x = 13,828.89 × 6,485.05
4. Step 4: Simplify right side
   10,022.32x = 89,681,043.09
5. Step 5: Solve for x
   x = 89,681,043.09/10,022.32
6. Step 6: Final answer
   x = 8,948.13