Finding the Fourth Proportional to 2,566.76, 3,848.78 and 1,105.26

Step by Step Solution

1. Step 1: Write the proportion equation
   2,566.76 : 3,848.78 = 1,105.26 : x
2. Step 2: Convert to fraction form
   2,566.76/3,848.78 = 1,105.26/x
3. Step 3: Cross multiply
   2,566.76x = 3,848.78 × 1,105.26
4. Step 4: Simplify right side
   2,566.76x = 4,253,902.58
5. Step 5: Solve for x
   x = 4,253,902.58/2,566.76
6. Step 6: Final answer
   x = 1,657.30