Finding the Fourth Proportional to 10,314.12, 14,234.19 and 5,837.86

Step by Step Solution

1. Step 1: Write the proportion equation
   10,314.12 : 14,234.19 = 5,837.86 : x
2. Step 2: Convert to fraction form
   10,314.12/14,234.19 = 5,837.86/x
3. Step 3: Cross multiply
   10,314.12x = 14,234.19 × 5,837.86
4. Step 4: Simplify right side
   10,314.12x = 83,097,208.43
5. Step 5: Solve for x
   x = 83,097,208.43/10,314.12
6. Step 6: Final answer
   x = 8,056.65