Finding the Fourth Proportional to 2,074.50, 3,111.92 and 842.00

Step by Step Solution

1. Step 1: Write the proportion equation
   2,074.50 : 3,111.92 = 842.00 : x
2. Step 2: Convert to fraction form
   2,074.50/3,111.92 = 842.00/x
3. Step 3: Cross multiply
   2,074.50x = 3,111.92 × 842.00
4. Step 4: Simplify right side
   2,074.50x = 2,620,220.03
5. Step 5: Solve for x
   x = 2,620,220.03/2,074.50
6. Step 6: Final answer
   x = 1,263.06