Finding the Fourth Proportional to 9,724.42, 13,418.34 and 5,474.76

Step by Step Solution

1. Step 1: Write the proportion equation
   9,724.42 : 13,418.34 = 5,474.76 : x
2. Step 2: Convert to fraction form
   9,724.42/13,418.34 = 5,474.76/x
3. Step 3: Cross multiply
   9,724.42x = 13,418.34 × 5,474.76
4. Step 4: Simplify right side
   9,724.42x = 73,462,191.10
5. Step 5: Solve for x
   x = 73,462,191.10/9,724.42
6. Step 6: Final answer
   x = 7,554.40