Finding the Fourth Proportional to 9,971.12, 13,760.27 and 5,494.86

Step by Step Solution

1. Step 1: Write the proportion equation
   9,971.12 : 13,760.27 = 5,494.86 : x
2. Step 2: Convert to fraction form
   9,971.12/13,760.27 = 5,494.86/x
3. Step 3: Cross multiply
   9,971.12x = 13,760.27 × 5,494.86
4. Step 4: Simplify right side
   9,971.12x = 75,610,757.21
5. Step 5: Solve for x
   x = 75,610,757.21/9,971.12
6. Step 6: Final answer
   x = 7,582.98