Finding the Fourth Proportional to 10,426.40, 14,388.20 and 5,710.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,426.40 : 14,388.20 = 5,710.56 : x
2. Step 2: Convert to fraction form
   10,426.40/14,388.20 = 5,710.56/x
3. Step 3: Cross multiply
   10,426.40x = 14,388.20 × 5,710.56
4. Step 4: Simplify right side
   10,426.40x = 82,164,679.39
5. Step 5: Solve for x
   x = 82,164,679.39/10,426.40
6. Step 6: Final answer
   x = 7,880.45