Finding the Fourth Proportional to 3,840.74, 5,298.15 and 2,566.82

Step by Step Solution

1. Step 1: Write the proportion equation
   3,840.74 : 5,298.15 = 2,566.82 : x
2. Step 2: Convert to fraction form
   3,840.74/5,298.15 = 2,566.82/x
3. Step 3: Cross multiply
   3,840.74x = 5,298.15 × 2,566.82
4. Step 4: Simplify right side
   3,840.74x = 13,599,370.89
5. Step 5: Solve for x
   x = 13,599,370.89/3,840.74
6. Step 6: Final answer
   x = 3,540.82