Finding the Fourth Proportional to 10,234.78, 14,123.83 and 5,758.53

Step by Step Solution

1. Step 1: Write the proportion equation
   10,234.78 : 14,123.83 = 5,758.53 : x
2. Step 2: Convert to fraction form
   10,234.78/14,123.83 = 5,758.53/x
3. Step 3: Cross multiply
   10,234.78x = 14,123.83 × 5,758.53
4. Step 4: Simplify right side
   10,234.78x = 81,332,442.21
5. Step 5: Solve for x
   x = 81,332,442.21/10,234.78
6. Step 6: Final answer
   x = 7,946.67