Finding the Fourth Proportional to 1,665.87, 2,297.72 and 1,106.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,665.87 : 2,297.72 = 1,106.06 : x
2. Step 2: Convert to fraction form
   1,665.87/2,297.72 = 1,106.06/x
3. Step 3: Cross multiply
   1,665.87x = 2,297.72 × 1,106.06
4. Step 4: Simplify right side
   1,665.87x = 2,541,401.24
5. Step 5: Solve for x
   x = 2,541,401.24/1,665.87
6. Step 6: Final answer
   x = 1,525.57