Finding the Fourth Proportional to 2,566.84, 3,842.94 and 2,362.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,566.84 : 3,842.94 = 2,362.72 : x
2. Step 2: Convert to fraction form
   2,566.84/3,842.94 = 2,362.72/x
3. Step 3: Cross multiply
   2,566.84x = 3,842.94 × 2,362.72
4. Step 4: Simplify right side
   2,566.84x = 9,079,791.20
5. Step 5: Solve for x
   x = 9,079,791.20/2,566.84
6. Step 6: Final answer
   x = 3,537.34