Finding the Fourth Proportional to 10,582.89, 14,605.29 and 6,106.83

Step by Step Solution

1. Step 1: Write the proportion equation
   10,582.89 : 14,605.29 = 6,106.83 : x
2. Step 2: Convert to fraction form
   10,582.89/14,605.29 = 6,106.83/x
3. Step 3: Cross multiply
   10,582.89x = 14,605.29 × 6,106.83
4. Step 4: Simplify right side
   10,582.89x = 89,192,023.13
5. Step 5: Solve for x
   x = 89,192,023.13/10,582.89
6. Step 6: Final answer
   x = 8,427.95