Finding the Fourth Proportional to 3,648.16, 5,032.74 and 2,653

Step by Step Solution

1. Step 1: Write the proportion equation
   3,648.16 : 5,032.74 = 2,653 : x
2. Step 2: Convert to fraction form
   3,648.16/5,032.74 = 2,653/x
3. Step 3: Cross multiply
   3,648.16x = 5,032.74 × 2,653
4. Step 4: Simplify right side
   3,648.16x = 13,351,859.22
5. Step 5: Solve for x
   x = 13,351,859.22/3,648.16
6. Step 6: Final answer
   x = 3,659.89