Finding the Fourth Proportional to 2,642.88, 3,647.22 and 1,523.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,642.88 : 3,647.22 = 1,523.63 : x
2. Step 2: Convert to fraction form
   2,642.88/3,647.22 = 1,523.63/x
3. Step 3: Cross multiply
   2,642.88x = 3,647.22 × 1,523.63
4. Step 4: Simplify right side
   2,642.88x = 5,557,013.81
5. Step 5: Solve for x
   x = 5,557,013.81/2,642.88
6. Step 6: Final answer
   x = 2,102.64