Finding the Fourth Proportional to 1,638.21, 2,456.56 and 527.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,638.21 : 2,456.56 = 527.42 : x
2. Step 2: Convert to fraction form
   1,638.21/2,456.56 = 527.42/x
3. Step 3: Cross multiply
   1,638.21x = 2,456.56 × 527.42
4. Step 4: Simplify right side
   1,638.21x = 1,295,648.02
5. Step 5: Solve for x
   x = 1,295,648.02/1,638.21
6. Step 6: Final answer
   x = 790.89