Finding the Fourth Proportional to 5,111.21, 7,665.85 and 1,600.69

Step by Step Solution

1. Step 1: Write the proportion equation
   5,111.21 : 7,665.85 = 1,600.69 : x
2. Step 2: Convert to fraction form
   5,111.21/7,665.85 = 1,600.69/x
3. Step 3: Cross multiply
   5,111.21x = 7,665.85 × 1,600.69
4. Step 4: Simplify right side
   5,111.21x = 12,270,626.27
5. Step 5: Solve for x
   x = 12,270,626.27/5,111.21
6. Step 6: Final answer
   x = 2,400.73