Finding the Fourth Proportional to 10,171.49, 14,036.37 and 5,634.32

Step by Step Solution

1. Step 1: Write the proportion equation
   10,171.49 : 14,036.37 = 5,634.32 : x
2. Step 2: Convert to fraction form
   10,171.49/14,036.37 = 5,634.32/x
3. Step 3: Cross multiply
   10,171.49x = 14,036.37 × 5,634.32
4. Step 4: Simplify right side
   10,171.49x = 79,085,308.91
5. Step 5: Solve for x
   x = 79,085,308.91/10,171.49
6. Step 6: Final answer
   x = 7,775.20