Finding the Fourth Proportional to 9,874.00, 13,626.23 and 5,397.54

Step by Step Solution

1. Step 1: Write the proportion equation
   9,874.00 : 13,626.23 = 5,397.54 : x
2. Step 2: Convert to fraction form
   9,874.00/13,626.23 = 5,397.54/x
3. Step 3: Cross multiply
   9,874.00x = 13,626.23 × 5,397.54
4. Step 4: Simplify right side
   9,874.00x = 73,548,043.39
5. Step 5: Solve for x
   x = 73,548,043.39/9,874.00
6. Step 6: Final answer
   x = 7,448.66