Finding the Fourth Proportional to 10,314.14, 14,233.51 and 5,837.81

Step by Step Solution

1. Step 1: Write the proportion equation
   10,314.14 : 14,233.51 = 5,837.81 : x
2. Step 2: Convert to fraction form
   10,314.14/14,233.51 = 5,837.81/x
3. Step 3: Cross multiply
   10,314.14x = 14,233.51 × 5,837.81
4. Step 4: Simplify right side
   10,314.14x = 83,092,527.01
5. Step 5: Solve for x
   x = 83,092,527.01/10,314.14
6. Step 6: Final answer
   x = 8,056.18