Finding the Fourth Proportional to 7,171.50, 9,888.15 and 5,256.66

Step by Step Solution

1. Step 1: Write the proportion equation
   7,171.50 : 9,888.15 = 5,256.66 : x
2. Step 2: Convert to fraction form
   7,171.50/9,888.15 = 5,256.66/x
3. Step 3: Cross multiply
   7,171.50x = 9,888.15 × 5,256.66
4. Step 4: Simplify right side
   7,171.50x = 51,978,642.58
5. Step 5: Solve for x
   x = 51,978,642.58/7,171.50
6. Step 6: Final answer
   x = 7,247.95