Finding the Fourth Proportional to 2,645.25, 3,968.42 and 1,106.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,645.25 : 3,968.42 = 1,106.25 : x
2. Step 2: Convert to fraction form
   2,645.25/3,968.42 = 1,106.25/x
3. Step 3: Cross multiply
   2,645.25x = 3,968.42 × 1,106.25
4. Step 4: Simplify right side
   2,645.25x = 4,390,059.09
5. Step 5: Solve for x
   x = 4,390,059.09/2,645.25
6. Step 6: Final answer
   x = 1,659.60