Finding the Fourth Proportional to 10,234.56, 14,123.67 and 5,758.31

Step by Step Solution

1. Step 1: Write the proportion equation
   10,234.56 : 14,123.67 = 5,758.31 : x
2. Step 2: Convert to fraction form
   10,234.56/14,123.67 = 5,758.31/x
3. Step 3: Cross multiply
   10,234.56x = 14,123.67 × 5,758.31
4. Step 4: Simplify right side
   10,234.56x = 81,328,483.91
5. Step 5: Solve for x
   x = 81,328,483.91/10,234.56
6. Step 6: Final answer
   x = 7,946.45