Finding the Fourth Proportional to 5,671.98, 7,824.60 and 3,656.16

Step by Step Solution

1. Step 1: Write the proportion equation
   5,671.98 : 7,824.60 = 3,656.16 : x
2. Step 2: Convert to fraction form
   5,671.98/7,824.60 = 3,656.16/x
3. Step 3: Cross multiply
   5,671.98x = 7,824.60 × 3,656.16
4. Step 4: Simplify right side
   5,671.98x = 28,607,989.54
5. Step 5: Solve for x
   x = 28,607,989.54/5,671.98
6. Step 6: Final answer
   x = 5,043.74