Finding the Fourth Proportional to 9,971.94, 13,760.76 and 5,494.97

Step by Step Solution

1. Step 1: Write the proportion equation
   9,971.94 : 13,760.76 = 5,494.97 : x
2. Step 2: Convert to fraction form
   9,971.94/13,760.76 = 5,494.97/x
3. Step 3: Cross multiply
   9,971.94x = 13,760.76 × 5,494.97
4. Step 4: Simplify right side
   9,971.94x = 75,614,894.57
5. Step 5: Solve for x
   x = 75,614,894.57/9,971.94
6. Step 6: Final answer
   x = 7,582.77