Finding the Fourth Proportional to 10,674.42, 14,731.57 and 5,894.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,674.42 : 14,731.57 = 5,894.80 : x
2. Step 2: Convert to fraction form
   10,674.42/14,731.57 = 5,894.80/x
3. Step 3: Cross multiply
   10,674.42x = 14,731.57 × 5,894.80
4. Step 4: Simplify right side
   10,674.42x = 86,839,658.84
5. Step 5: Solve for x
   x = 86,839,658.84/10,674.42
6. Step 6: Final answer
   x = 8,135.30