Finding the Fourth Proportional to 10,234.80, 14,123.56 and 5,758.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,234.80 : 14,123.56 = 5,758.80 : x
2. Step 2: Convert to fraction form
   10,234.80/14,123.56 = 5,758.80/x
3. Step 3: Cross multiply
   10,234.80x = 14,123.56 × 5,758.80
4. Step 4: Simplify right side
   10,234.80x = 81,334,757.33
5. Step 5: Solve for x
   x = 81,334,757.33/10,234.80
6. Step 6: Final answer
   x = 7,946.88