Finding the Fourth Proportional to 2,523.89, 3,782.43 and 1,205.84

Step by Step Solution

1. Step 1: Write the proportion equation
   2,523.89 : 3,782.43 = 1,205.84 : x
2. Step 2: Convert to fraction form
   2,523.89/3,782.43 = 1,205.84/x
3. Step 3: Cross multiply
   2,523.89x = 3,782.43 × 1,205.84
4. Step 4: Simplify right side
   2,523.89x = 4,561,014.85
5. Step 5: Solve for x
   x = 4,561,014.85/2,523.89
6. Step 6: Final answer
   x = 1,807.14