Finding the Fourth Proportional to 2,047.64, 2,827.25 and 1,604.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,047.64 : 2,827.25 = 1,604.76 : x
2. Step 2: Convert to fraction form
   2,047.64/2,827.25 = 1,604.76/x
3. Step 3: Cross multiply
   2,047.64x = 2,827.25 × 1,604.76
4. Step 4: Simplify right side
   2,047.64x = 4,537,049.69
5. Step 5: Solve for x
   x = 4,537,049.69/2,047.64
6. Step 6: Final answer
   x = 2,215.75