Finding the Fourth Proportional to 5,645.24, 7,782.27 and 3,961.43

Step by Step Solution

1. Step 1: Write the proportion equation
   5,645.24 : 7,782.27 = 3,961.43 : x
2. Step 2: Convert to fraction form
   5,645.24/7,782.27 = 3,961.43/x
3. Step 3: Cross multiply
   5,645.24x = 7,782.27 × 3,961.43
4. Step 4: Simplify right side
   5,645.24x = 30,828,917.85
5. Step 5: Solve for x
   x = 30,828,917.85/5,645.24
6. Step 6: Final answer
   x = 5,461.05