Finding the Fourth Proportional to 5,540.61, 7,645.86 and 3,022.75

Step by Step Solution

1. Step 1: Write the proportion equation
   5,540.61 : 7,645.86 = 3,022.75 : x
2. Step 2: Convert to fraction form
   5,540.61/7,645.86 = 3,022.75/x
3. Step 3: Cross multiply
   5,540.61x = 7,645.86 × 3,022.75
4. Step 4: Simplify right side
   5,540.61x = 23,111,523.32
5. Step 5: Solve for x
   x = 23,111,523.32/5,540.61
6. Step 6: Final answer
   x = 4,171.30