Finding the Fourth Proportional to 1,784.72, 2,462.28 and 1,162.64

Step by Step Solution

1. Step 1: Write the proportion equation
   1,784.72 : 2,462.28 = 1,162.64 : x
2. Step 2: Convert to fraction form
   1,784.72/2,462.28 = 1,162.64/x
3. Step 3: Cross multiply
   1,784.72x = 2,462.28 × 1,162.64
4. Step 4: Simplify right side
   1,784.72x = 2,862,745.22
5. Step 5: Solve for x
   x = 2,862,745.22/1,784.72
6. Step 6: Final answer
   x = 1,604.03