Finding the Fourth Proportional to 10,164.85, 14,019.96 and 7,177.57

Step by Step Solution

1. Step 1: Write the proportion equation
   10,164.85 : 14,019.96 = 7,177.57 : x
2. Step 2: Convert to fraction form
   10,164.85/14,019.96 = 7,177.57/x
3. Step 3: Cross multiply
   10,164.85x = 14,019.96 × 7,177.57
4. Step 4: Simplify right side
   10,164.85x = 100,629,244.30
5. Step 5: Solve for x
   x = 100,629,244.30/10,164.85
6. Step 6: Final answer
   x = 9,899.73