Finding the Fourth Proportional to 10,234.63, 14,123.76 and 5,758.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,234.63 : 14,123.76 = 5,758.38 : x
2. Step 2: Convert to fraction form
   10,234.63/14,123.76 = 5,758.38/x
3. Step 3: Cross multiply
   10,234.63x = 14,123.76 × 5,758.38
4. Step 4: Simplify right side
   10,234.63x = 81,330,053.37
5. Step 5: Solve for x
   x = 81,330,053.37/10,234.63
6. Step 6: Final answer
   x = 7,946.56