Finding the Fourth Proportional to 9,971.80, 13,760.89 and 5,495.97

Step by Step Solution

1. Step 1: Write the proportion equation
   9,971.80 : 13,760.89 = 5,495.97 : x
2. Step 2: Convert to fraction form
   9,971.80/13,760.89 = 5,495.97/x
3. Step 3: Cross multiply
   9,971.80x = 13,760.89 × 5,495.97
4. Step 4: Simplify right side
   9,971.80x = 75,629,438.61
5. Step 5: Solve for x
   x = 75,629,438.61/9,971.80
6. Step 6: Final answer
   x = 7,584.33