Finding the Fourth Proportional to 2,642.30, 3,646.46 and 1,523.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,642.30 : 3,646.46 = 1,523.16 : x
2. Step 2: Convert to fraction form
   2,642.30/3,646.46 = 1,523.16/x
3. Step 3: Cross multiply
   2,642.30x = 3,646.46 × 1,523.16
4. Step 4: Simplify right side
   2,642.30x = 5,554,142.01
5. Step 5: Solve for x
   x = 5,554,142.01/2,642.30
6. Step 6: Final answer
   x = 2,102.01