Finding the Fourth Proportional to 3,784.16, 5,671.46 and 2,688.78

Step by Step Solution

1. Step 1: Write the proportion equation
   3,784.16 : 5,671.46 = 2,688.78 : x
2. Step 2: Convert to fraction form
   3,784.16/5,671.46 = 2,688.78/x
3. Step 3: Cross multiply
   3,784.16x = 5,671.46 × 2,688.78
4. Step 4: Simplify right side
   3,784.16x = 15,249,308.22
5. Step 5: Solve for x
   x = 15,249,308.22/3,784.16
6. Step 6: Final answer
   x = 4,029.77