Finding the Fourth Proportional to 10,213.81, 14,095.39 and 5,738.36

Step by Step Solution

1. Step 1: Write the proportion equation
   10,213.81 : 14,095.39 = 5,738.36 : x
2. Step 2: Convert to fraction form
   10,213.81/14,095.39 = 5,738.36/x
3. Step 3: Cross multiply
   10,213.81x = 14,095.39 × 5,738.36
4. Step 4: Simplify right side
   10,213.81x = 80,884,337.34
5. Step 5: Solve for x
   x = 80,884,337.34/10,213.81
6. Step 6: Final answer
   x = 7,919.12