Finding the Fourth Proportional to 9,974.92, 13,765.72 and 5,498.84

Step by Step Solution

1. Step 1: Write the proportion equation
   9,974.92 : 13,765.72 = 5,498.84 : x
2. Step 2: Convert to fraction form
   9,974.92/13,765.72 = 5,498.84/x
3. Step 3: Cross multiply
   9,974.92x = 13,765.72 × 5,498.84
4. Step 4: Simplify right side
   9,974.92x = 75,695,491.76
5. Step 5: Solve for x
   x = 75,695,491.76/9,974.92
6. Step 6: Final answer
   x = 7,588.58