Finding the Fourth Proportional to 5,111.64, 7,657.56 and 3,940.56

Step by Step Solution

1. Step 1: Write the proportion equation
   5,111.64 : 7,657.56 = 3,940.56 : x
2. Step 2: Convert to fraction form
   5,111.64/7,657.56 = 3,940.56/x
3. Step 3: Cross multiply
   5,111.64x = 7,657.56 × 3,940.56
4. Step 4: Simplify right side
   5,111.64x = 30,175,074.63
5. Step 5: Solve for x
   x = 30,175,074.63/5,111.64
6. Step 6: Final answer
   x = 5,903.21