Finding the Fourth Proportional to 9,974.28, 13,763.70 and 5,725.38

Step by Step Solution

1. Step 1: Write the proportion equation
   9,974.28 : 13,763.70 = 5,725.38 : x
2. Step 2: Convert to fraction form
   9,974.28/13,763.70 = 5,725.38/x
3. Step 3: Cross multiply
   9,974.28x = 13,763.70 × 5,725.38
4. Step 4: Simplify right side
   9,974.28x = 78,802,412.71
5. Step 5: Solve for x
   x = 78,802,412.71/9,974.28
6. Step 6: Final answer
   x = 7,900.56