Finding the Fourth Proportional to 10,406.24, 14,361.20 and 5,931.46

Step by Step Solution

1. Step 1: Write the proportion equation
   10,406.24 : 14,361.20 = 5,931.46 : x
2. Step 2: Convert to fraction form
   10,406.24/14,361.20 = 5,931.46/x
3. Step 3: Cross multiply
   10,406.24x = 14,361.20 × 5,931.46
4. Step 4: Simplify right side
   10,406.24x = 85,182,893.89
5. Step 5: Solve for x
   x = 85,182,893.89/10,406.24
6. Step 6: Final answer
   x = 8,185.75