Finding the Fourth Proportional to 9,971.00, 13,760.23 and 5,494.80

Step by Step Solution

1. Step 1: Write the proportion equation
   9,971.00 : 13,760.23 = 5,494.80 : x
2. Step 2: Convert to fraction form
   9,971.00/13,760.23 = 5,494.80/x
3. Step 3: Cross multiply
   9,971.00x = 13,760.23 × 5,494.80
4. Step 4: Simplify right side
   9,971.00x = 75,609,711.80
5. Step 5: Solve for x
   x = 75,609,711.80/9,971.00
6. Step 6: Final answer
   x = 7,582.97