Finding the Fourth Proportional to 10,584.96, 14,606.52 and 6,108.90

Step by Step Solution

1. Step 1: Write the proportion equation
   10,584.96 : 14,606.52 = 6,108.90 : x
2. Step 2: Convert to fraction form
   10,584.96/14,606.52 = 6,108.90/x
3. Step 3: Cross multiply
   10,584.96x = 14,606.52 × 6,108.90
4. Step 4: Simplify right side
   10,584.96x = 89,229,770.03
5. Step 5: Solve for x
   x = 89,229,770.03/10,584.96
6. Step 6: Final answer
   x = 8,429.86