Finding the Fourth Proportional to 10,314.43, 14,233.05 and 5,837.15

Step by Step Solution

1. Step 1: Write the proportion equation
   10,314.43 : 14,233.05 = 5,837.15 : x
2. Step 2: Convert to fraction form
   10,314.43/14,233.05 = 5,837.15/x
3. Step 3: Cross multiply
   10,314.43x = 14,233.05 × 5,837.15
4. Step 4: Simplify right side
   10,314.43x = 83,080,483.39
5. Step 5: Solve for x
   x = 83,080,483.39/10,314.43
6. Step 6: Final answer
   x = 8,054.78