Finding the Fourth Proportional to 2,606.50, 3,910.00 and 757.11

Step by Step Solution

1. Step 1: Write the proportion equation
   2,606.50 : 3,910.00 = 757.11 : x
2. Step 2: Convert to fraction form
   2,606.50/3,910.00 = 757.11/x
3. Step 3: Cross multiply
   2,606.50x = 3,910.00 × 757.11
4. Step 4: Simplify right side
   2,606.50x = 2,960,314.29
5. Step 5: Solve for x
   x = 2,960,314.29/2,606.50
6. Step 6: Final answer
   x = 1,135.74