Finding the Fourth Proportional to 10,407.46, 14,362.15 and 5,931.48

Step by Step Solution

1. Step 1: Write the proportion equation
   10,407.46 : 14,362.15 = 5,931.48 : x
2. Step 2: Convert to fraction form
   10,407.46/14,362.15 = 5,931.48/x
3. Step 3: Cross multiply
   10,407.46x = 14,362.15 × 5,931.48
4. Step 4: Simplify right side
   10,407.46x = 85,188,805.48
5. Step 5: Solve for x
   x = 85,188,805.48/10,407.46
6. Step 6: Final answer
   x = 8,185.36