Finding the Fourth Proportional to 1,665.28, 2,297.46 and 1,106.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,665.28 : 2,297.46 = 1,106.02 : x
2. Step 2: Convert to fraction form
   1,665.28/2,297.46 = 1,106.02/x
3. Step 3: Cross multiply
   1,665.28x = 2,297.46 × 1,106.02
4. Step 4: Simplify right side
   1,665.28x = 2,541,036.71
5. Step 5: Solve for x
   x = 2,541,036.71/1,665.28
6. Step 6: Final answer
   x = 1,525.89