Finding the Fourth Proportional to 10,314.36, 14,229.81 and 5,837.07

Step by Step Solution

1. Step 1: Write the proportion equation
   10,314.36 : 14,229.81 = 5,837.07 : x
2. Step 2: Convert to fraction form
   10,314.36/14,229.81 = 5,837.07/x
3. Step 3: Cross multiply
   10,314.36x = 14,229.81 × 5,837.07
4. Step 4: Simplify right side
   10,314.36x = 83,060,397.06
5. Step 5: Solve for x
   x = 83,060,397.06/10,314.36
6. Step 6: Final answer
   x = 8,052.89