Finding the Fourth Proportional to 2,642.45, 3,646.82 and 1,523.57

Step by Step Solution

1. Step 1: Write the proportion equation
   2,642.45 : 3,646.82 = 1,523.57 : x
2. Step 2: Convert to fraction form
   2,642.45/3,646.82 = 1,523.57/x
3. Step 3: Cross multiply
   2,642.45x = 3,646.82 × 1,523.57
4. Step 4: Simplify right side
   2,642.45x = 5,556,171.12
5. Step 5: Solve for x
   x = 5,556,171.12/2,642.45
6. Step 6: Final answer
   x = 2,102.66