Finding the Fourth Proportional to 2,761.80, 3,811.54 and 1,583

Step by Step Solution

1. Step 1: Write the proportion equation
   2,761.80 : 3,811.54 = 1,583 : x
2. Step 2: Convert to fraction form
   2,761.80/3,811.54 = 1,583/x
3. Step 3: Cross multiply
   2,761.80x = 3,811.54 × 1,583
4. Step 4: Simplify right side
   2,761.80x = 6,033,667.82
5. Step 5: Solve for x
   x = 6,033,667.82/2,761.80
6. Step 6: Final answer
   x = 2,184.69