Finding the Fourth Proportional to 10,233.96, 14,123.22 and 5,758.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,233.96 : 14,123.22 = 5,758.50 : x
2. Step 2: Convert to fraction form
   10,233.96/14,123.22 = 5,758.50/x
3. Step 3: Cross multiply
   10,233.96x = 14,123.22 × 5,758.50
4. Step 4: Simplify right side
   10,233.96x = 81,328,562.37
5. Step 5: Solve for x
   x = 81,328,562.37/10,233.96
6. Step 6: Final answer
   x = 7,946.93