Finding the Fourth Proportional to 9,974.10, 13,763.12 and 5,724.02

Step by Step Solution

1. Step 1: Write the proportion equation
   9,974.10 : 13,763.12 = 5,724.02 : x
2. Step 2: Convert to fraction form
   9,974.10/13,763.12 = 5,724.02/x
3. Step 3: Cross multiply
   9,974.10x = 13,763.12 × 5,724.02
4. Step 4: Simplify right side
   9,974.10x = 78,780,374.14
5. Step 5: Solve for x
   x = 78,780,374.14/9,974.10
6. Step 6: Final answer
   x = 7,898.49