Finding the Fourth Proportional to 10,158.94, 14,020.50 and 5,683.83

Step by Step Solution

1. Step 1: Write the proportion equation
   10,158.94 : 14,020.50 = 5,683.83 : x
2. Step 2: Convert to fraction form
   10,158.94/14,020.50 = 5,683.83/x
3. Step 3: Cross multiply
   10,158.94x = 14,020.50 × 5,683.83
4. Step 4: Simplify right side
   10,158.94x = 79,690,068.41
5. Step 5: Solve for x
   x = 79,690,068.41/10,158.94
6. Step 6: Final answer
   x = 7,844.33