Finding the Fourth Proportional to 5,002.68, 7,498.68 and 3,766.26

Step by Step Solution

1. Step 1: Write the proportion equation
   5,002.68 : 7,498.68 = 3,766.26 : x
2. Step 2: Convert to fraction form
   5,002.68/7,498.68 = 3,766.26/x
3. Step 3: Cross multiply
   5,002.68x = 7,498.68 × 3,766.26
4. Step 4: Simplify right side
   5,002.68x = 28,241,978.54
5. Step 5: Solve for x
   x = 28,241,978.54/5,002.68
6. Step 6: Final answer
   x = 5,645.37