Finding the Fourth Proportional to 9,890.50, 13,648.89 and 5,474.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,890.50 : 13,648.89 = 5,474.50 : x
2. Step 2: Convert to fraction form
   9,890.50/13,648.89 = 5,474.50/x
3. Step 3: Cross multiply
   9,890.50x = 13,648.89 × 5,474.50
4. Step 4: Simplify right side
   9,890.50x = 74,720,848.31
5. Step 5: Solve for x
   x = 74,720,848.31/9,890.50
6. Step 6: Final answer
   x = 7,554.81