Finding the Fourth Proportional to 2,407.16, 3,609.50 and 1,107.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,407.16 : 3,609.50 = 1,107.50 : x
2. Step 2: Convert to fraction form
   2,407.16/3,609.50 = 1,107.50/x
3. Step 3: Cross multiply
   2,407.16x = 3,609.50 × 1,107.50
4. Step 4: Simplify right side
   2,407.16x = 3,997,521.25
5. Step 5: Solve for x
   x = 3,997,521.25/2,407.16
6. Step 6: Final answer
   x = 1,660.68