Finding the Fourth Proportional to 10,582.78, 14,604.22 and 6,106.46

Step by Step Solution

1. Step 1: Write the proportion equation
   10,582.78 : 14,604.22 = 6,106.46 : x
2. Step 2: Convert to fraction form
   10,582.78/14,604.22 = 6,106.46/x
3. Step 3: Cross multiply
   10,582.78x = 14,604.22 × 6,106.46
4. Step 4: Simplify right side
   10,582.78x = 89,180,085.26
5. Step 5: Solve for x
   x = 89,180,085.26/10,582.78
6. Step 6: Final answer
   x = 8,426.91