Finding the Fourth Proportional to 9,874.53, 13,626.83 and 5,398.27

Step by Step Solution

1. Step 1: Write the proportion equation
   9,874.53 : 13,626.83 = 5,398.27 : x
2. Step 2: Convert to fraction form
   9,874.53/13,626.83 = 5,398.27/x
3. Step 3: Cross multiply
   9,874.53x = 13,626.83 × 5,398.27
4. Step 4: Simplify right side
   9,874.53x = 73,561,368.45
5. Step 5: Solve for x
   x = 73,561,368.45/9,874.53
6. Step 6: Final answer
   x = 7,449.60