Finding the Fourth Proportional to 10,314.29, 14,234.04 and 5,837.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,314.29 : 14,234.04 = 5,837.96 : x
2. Step 2: Convert to fraction form
   10,314.29/14,234.04 = 5,837.96/x
3. Step 3: Cross multiply
   10,314.29x = 14,234.04 × 5,837.96
4. Step 4: Simplify right side
   10,314.29x = 83,097,684.99
5. Step 5: Solve for x
   x = 83,097,684.99/10,314.29
6. Step 6: Final answer
   x = 8,056.56