Finding the Fourth Proportional to 1,665.60, 2,299.64 and 1,107.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,665.60 : 2,299.64 = 1,107.15 : x
2. Step 2: Convert to fraction form
   1,665.60/2,299.64 = 1,107.15/x
3. Step 3: Cross multiply
   1,665.60x = 2,299.64 × 1,107.15
4. Step 4: Simplify right side
   1,665.60x = 2,546,040.89
5. Step 5: Solve for x
   x = 2,546,040.89/1,665.60
6. Step 6: Final answer
   x = 1,528.60