Finding the Fourth Proportional to 2,834.50, 3,911.61 and 1,592.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,834.50 : 3,911.61 = 1,592.50 : x
2. Step 2: Convert to fraction form
   2,834.50/3,911.61 = 1,592.50/x
3. Step 3: Cross multiply
   2,834.50x = 3,911.61 × 1,592.50
4. Step 4: Simplify right side
   2,834.50x = 6,229,238.93
5. Step 5: Solve for x
   x = 6,229,238.93/2,834.50
6. Step 6: Final answer
   x = 2,197.65