Finding the Fourth Proportional to 2,540.83, 3,811.50 and 692.09

Step by Step Solution

1. Step 1: Write the proportion equation
   2,540.83 : 3,811.50 = 692.09 : x
2. Step 2: Convert to fraction form
   2,540.83/3,811.50 = 692.09/x
3. Step 3: Cross multiply
   2,540.83x = 3,811.50 × 692.09
4. Step 4: Simplify right side
   2,540.83x = 2,637,898.87
5. Step 5: Solve for x
   x = 2,637,898.87/2,540.83
6. Step 6: Final answer
   x = 1,038.20