Finding the Fourth Proportional to 2,566.89, 3,849.09 and 1,527.03

Step by Step Solution

1. Step 1: Write the proportion equation
   2,566.89 : 3,849.09 = 1,527.03 : x
2. Step 2: Convert to fraction form
   2,566.89/3,849.09 = 1,527.03/x
3. Step 3: Cross multiply
   2,566.89x = 3,849.09 × 1,527.03
4. Step 4: Simplify right side
   2,566.89x = 5,877,675.90
5. Step 5: Solve for x
   x = 5,877,675.90/2,566.89
6. Step 6: Final answer
   x = 2,289.80