Finding the Fourth Proportional to 1,665.78, 2,299.74 and 1,107.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,665.78 : 2,299.74 = 1,107.02 : x
2. Step 2: Convert to fraction form
   1,665.78/2,299.74 = 1,107.02/x
3. Step 3: Cross multiply
   1,665.78x = 2,299.74 × 1,107.02
4. Step 4: Simplify right side
   1,665.78x = 2,545,858.17
5. Step 5: Solve for x
   x = 2,545,858.17/1,665.78
6. Step 6: Final answer
   x = 1,528.33