Finding the Fourth Proportional to 9,974.94, 13,765.34 and 5,498.62

Step by Step Solution

1. Step 1: Write the proportion equation
   9,974.94 : 13,765.34 = 5,498.62 : x
2. Step 2: Convert to fraction form
   9,974.94/13,765.34 = 5,498.62/x
3. Step 3: Cross multiply
   9,974.94x = 13,765.34 × 5,498.62
4. Step 4: Simplify right side
   9,974.94x = 75,690,373.83
5. Step 5: Solve for x
   x = 75,690,373.83/9,974.94
6. Step 6: Final answer
   x = 7,588.05