Finding the Fourth Proportional to 10,505.10, 14,496.68 and 5,789.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,505.10 : 14,496.68 = 5,789.38 : x
2. Step 2: Convert to fraction form
   10,505.10/14,496.68 = 5,789.38/x
3. Step 3: Cross multiply
   10,505.10x = 14,496.68 × 5,789.38
4. Step 4: Simplify right side
   10,505.10x = 83,926,789.26
5. Step 5: Solve for x
   x = 83,926,789.26/10,505.10
6. Step 6: Final answer
   x = 7,989.15