Finding the Fourth Proportional to 9,974.13, 13,764.23 and 5,497.88

Step by Step Solution

1. Step 1: Write the proportion equation
   9,974.13 : 13,764.23 = 5,497.88 : x
2. Step 2: Convert to fraction form
   9,974.13/13,764.23 = 5,497.88/x
3. Step 3: Cross multiply
   9,974.13x = 13,764.23 × 5,497.88
4. Step 4: Simplify right side
   9,974.13x = 75,674,105.50
5. Step 5: Solve for x
   x = 75,674,105.50/9,974.13
6. Step 6: Final answer
   x = 7,587.04