Finding the Fourth Proportional to 3,896.72, 5,823.54 and 3,490.64

Step by Step Solution

1. Step 1: Write the proportion equation
   3,896.72 : 5,823.54 = 3,490.64 : x
2. Step 2: Convert to fraction form
   3,896.72/5,823.54 = 3,490.64/x
3. Step 3: Cross multiply
   3,896.72x = 5,823.54 × 3,490.64
4. Step 4: Simplify right side
   3,896.72x = 20,327,881.67
5. Step 5: Solve for x
   x = 20,327,881.67/3,896.72
6. Step 6: Final answer
   x = 5,216.66