Finding the Fourth Proportional to 5,642.02, 7,786.29 and 3,546.82

Step by Step Solution

1. Step 1: Write the proportion equation
   5,642.02 : 7,786.29 = 3,546.82 : x
2. Step 2: Convert to fraction form
   5,642.02/7,786.29 = 3,546.82/x
3. Step 3: Cross multiply
   5,642.02x = 7,786.29 × 3,546.82
4. Step 4: Simplify right side
   5,642.02x = 27,616,569.10
5. Step 5: Solve for x
   x = 27,616,569.10/5,642.02
6. Step 6: Final answer
   x = 4,894.80