Finding the Fourth Proportional to 10,428.57, 14,387.76 and 5,949.09

Step by Step Solution

1. Step 1: Write the proportion equation
   10,428.57 : 14,387.76 = 5,949.09 : x
2. Step 2: Convert to fraction form
   10,428.57/14,387.76 = 5,949.09/x
3. Step 3: Cross multiply
   10,428.57x = 14,387.76 × 5,949.09
4. Step 4: Simplify right side
   10,428.57x = 85,594,079.14
5. Step 5: Solve for x
   x = 85,594,079.14/10,428.57
6. Step 6: Final answer
   x = 8,207.65