Finding the Fourth Proportional to 2,566.77, 3,851.88 and 1,106.07

Step by Step Solution

1. Step 1: Write the proportion equation
   2,566.77 : 3,851.88 = 1,106.07 : x
2. Step 2: Convert to fraction form
   2,566.77/3,851.88 = 1,106.07/x
3. Step 3: Cross multiply
   2,566.77x = 3,851.88 × 1,106.07
4. Step 4: Simplify right side
   2,566.77x = 4,260,448.91
5. Step 5: Solve for x
   x = 4,260,448.91/2,566.77
6. Step 6: Final answer
   x = 1,659.85