Finding the Fourth Proportional to 9,874.91, 13,627.31 and 5,398.58

Step by Step Solution

1. Step 1: Write the proportion equation
   9,874.91 : 13,627.31 = 5,398.58 : x
2. Step 2: Convert to fraction form
   9,874.91/13,627.31 = 5,398.58/x
3. Step 3: Cross multiply
   9,874.91x = 13,627.31 × 5,398.58
4. Step 4: Simplify right side
   9,874.91x = 73,568,130.30
5. Step 5: Solve for x
   x = 73,568,130.30/9,874.91
6. Step 6: Final answer
   x = 7,450.00