Finding the Fourth Proportional to 10,158.89, 14,020.01 and 5,684.08

Step by Step Solution

1. Step 1: Write the proportion equation
   10,158.89 : 14,020.01 = 5,684.08 : x
2. Step 2: Convert to fraction form
   10,158.89/14,020.01 = 5,684.08/x
3. Step 3: Cross multiply
   10,158.89x = 14,020.01 × 5,684.08
4. Step 4: Simplify right side
   10,158.89x = 79,690,858.44
5. Step 5: Solve for x
   x = 79,690,858.44/10,158.89
6. Step 6: Final answer
   x = 7,844.45