Finding the Fourth Proportional to 10,417.65, 14,375.37 and 5,942.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,417.65 : 14,375.37 = 5,942.40 : x
2. Step 2: Convert to fraction form
   10,417.65/14,375.37 = 5,942.40/x
3. Step 3: Cross multiply
   10,417.65x = 14,375.37 × 5,942.40
4. Step 4: Simplify right side
   10,417.65x = 85,424,198.69
5. Step 5: Solve for x
   x = 85,424,198.69/10,417.65
6. Step 6: Final answer
   x = 8,199.95