Finding the Fourth Proportional to 10,234.14, 14,123.13 and 5,758.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,234.14 : 14,123.13 = 5,758.14 : x
2. Step 2: Convert to fraction form
   10,234.14/14,123.13 = 5,758.14/x
3. Step 3: Cross multiply
   10,234.14x = 14,123.13 × 5,758.14
4. Step 4: Simplify right side
   10,234.14x = 81,322,959.78
5. Step 5: Solve for x
   x = 81,322,959.78/10,234.14
6. Step 6: Final answer
   x = 7,946.24