Finding the Fourth Proportional to 9,874.50, 13,626.82 and 5,458.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,874.50 : 13,626.82 = 5,458.50 : x
2. Step 2: Convert to fraction form
   9,874.50/13,626.82 = 5,458.50/x
3. Step 3: Cross multiply
   9,874.50x = 13,626.82 × 5,458.50
4. Step 4: Simplify right side
   9,874.50x = 74,381,996.97
5. Step 5: Solve for x
   x = 74,381,996.97/9,874.50
6. Step 6: Final answer
   x = 7,532.74