Finding the Fourth Proportional to 1,665.64, 2,298.70 and 1,105.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,665.64 : 2,298.70 = 1,105.16 : x
2. Step 2: Convert to fraction form
   1,665.64/2,298.70 = 1,105.16/x
3. Step 3: Cross multiply
   1,665.64x = 2,298.70 × 1,105.16
4. Step 4: Simplify right side
   1,665.64x = 2,540,431.29
5. Step 5: Solve for x
   x = 2,540,431.29/1,665.64
6. Step 6: Final answer
   x = 1,525.20