Finding the Fourth Proportional to 2,074.64, 3,111.88 and 841.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,074.64 : 3,111.88 = 841.72 : x
2. Step 2: Convert to fraction form
   2,074.64/3,111.88 = 841.72/x
3. Step 3: Cross multiply
   2,074.64x = 3,111.88 × 841.72
4. Step 4: Simplify right side
   2,074.64x = 2,619,321.75
5. Step 5: Solve for x
   x = 2,619,321.75/2,074.64
6. Step 6: Final answer
   x = 1,262.54