Finding the Fourth Proportional to 10,164.58, 14,027.38 and 5,689.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,164.58 : 14,027.38 = 5,689.10 : x
2. Step 2: Convert to fraction form
   10,164.58/14,027.38 = 5,689.10/x
3. Step 3: Cross multiply
   10,164.58x = 14,027.38 × 5,689.10
4. Step 4: Simplify right side
   10,164.58x = 79,803,167.56
5. Step 5: Solve for x
   x = 79,803,167.56/10,164.58
6. Step 6: Final answer
   x = 7,851.10