Finding the Fourth Proportional to 2,642.66, 3,647.00 and 1,523.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,642.66 : 3,647.00 = 1,523.78 : x
2. Step 2: Convert to fraction form
   2,642.66/3,647.00 = 1,523.78/x
3. Step 3: Cross multiply
   2,642.66x = 3,647.00 × 1,523.78
4. Step 4: Simplify right side
   2,642.66x = 5,557,199.81
5. Step 5: Solve for x
   x = 5,557,199.81/2,642.66
6. Step 6: Final answer
   x = 2,102.89