Finding the Fourth Proportional to 10,314.29, 14,232.98 and 5,838.55

Step by Step Solution

1. Step 1: Write the proportion equation
   10,314.29 : 14,232.98 = 5,838.55 : x
2. Step 2: Convert to fraction form
   10,314.29/14,232.98 = 5,838.55/x
3. Step 3: Cross multiply
   10,314.29x = 14,232.98 × 5,838.55
4. Step 4: Simplify right side
   10,314.29x = 83,099,944.39
5. Step 5: Solve for x
   x = 83,099,944.39/10,314.29
6. Step 6: Final answer
   x = 8,056.78