Finding the Fourth Proportional to 9,971.10, 13,760.28 and 5,494.79

Step by Step Solution

1. Step 1: Write the proportion equation
   9,971.10 : 13,760.28 = 5,494.79 : x
2. Step 2: Convert to fraction form
   9,971.10/13,760.28 = 5,494.79/x
3. Step 3: Cross multiply
   9,971.10x = 13,760.28 × 5,494.79
4. Step 4: Simplify right side
   9,971.10x = 75,609,805.94
5. Step 5: Solve for x
   x = 75,609,805.94/9,971.10
6. Step 6: Final answer
   x = 7,582.90