Finding the Fourth Proportional to 10,949.59, 16,426.48 and 7,586.62

Step by Step Solution

1. Step 1: Write the proportion equation
   10,949.59 : 16,426.48 = 7,586.62 : x
2. Step 2: Convert to fraction form
   10,949.59/16,426.48 = 7,586.62/x
3. Step 3: Cross multiply
   10,949.59x = 16,426.48 × 7,586.62
4. Step 4: Simplify right side
   10,949.59x = 124,621,461.70
5. Step 5: Solve for x
   x = 124,621,461.70/10,949.59
6. Step 6: Final answer
   x = 11,381.38