Finding the Fourth Proportional to 10,313.88, 14,233.89 and 5,838.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,313.88 : 14,233.89 = 5,838.06 : x
2. Step 2: Convert to fraction form
   10,313.88/14,233.89 = 5,838.06/x
3. Step 3: Cross multiply
   10,313.88x = 14,233.89 × 5,838.06
4. Step 4: Simplify right side
   10,313.88x = 83,098,303.85
5. Step 5: Solve for x
   x = 83,098,303.85/10,313.88
6. Step 6: Final answer
   x = 8,056.94