Finding the Fourth Proportional to 10,164.59, 14,027.40 and 5,689.11

Step by Step Solution

1. Step 1: Write the proportion equation
   10,164.59 : 14,027.40 = 5,689.11 : x
2. Step 2: Convert to fraction form
   10,164.59/14,027.40 = 5,689.11/x
3. Step 3: Cross multiply
   10,164.59x = 14,027.40 × 5,689.11
4. Step 4: Simplify right side
   10,164.59x = 79,803,421.61
5. Step 5: Solve for x
   x = 79,803,421.61/10,164.59
6. Step 6: Final answer
   x = 7,851.12