Finding the Fourth Proportional to 5,642.16, 7,786.31 and 3,656.18

Step by Step Solution

1. Step 1: Write the proportion equation
   5,642.16 : 7,786.31 = 3,656.18 : x
2. Step 2: Convert to fraction form
   5,642.16/7,786.31 = 3,656.18/x
3. Step 3: Cross multiply
   5,642.16x = 7,786.31 × 3,656.18
4. Step 4: Simplify right side
   5,642.16x = 28,468,093.68
5. Step 5: Solve for x
   x = 28,468,093.68/5,642.16
6. Step 6: Final answer
   x = 5,045.60