Finding the Fourth Proportional to 3,827.34, 5,276.43 and 2,566.17

Step by Step Solution

1. Step 1: Write the proportion equation
   3,827.34 : 5,276.43 = 2,566.17 : x
2. Step 2: Convert to fraction form
   3,827.34/5,276.43 = 2,566.17/x
3. Step 3: Cross multiply
   3,827.34x = 5,276.43 × 2,566.17
4. Step 4: Simplify right side
   3,827.34x = 13,540,216.37
5. Step 5: Solve for x
   x = 13,540,216.37/3,827.34
6. Step 6: Final answer
   x = 3,537.76