Finding the Fourth Proportional to 5,613.69, 7,746.78 and 3,256.05

Step by Step Solution

1. Step 1: Write the proportion equation
   5,613.69 : 7,746.78 = 3,256.05 : x
2. Step 2: Convert to fraction form
   5,613.69/7,746.78 = 3,256.05/x
3. Step 3: Cross multiply
   5,613.69x = 7,746.78 × 3,256.05
4. Step 4: Simplify right side
   5,613.69x = 25,223,903.02
5. Step 5: Solve for x
   x = 25,223,903.02/5,613.69
6. Step 6: Final answer
   x = 4,493.28