Finding the Fourth Proportional to 9,882.54, 13,637.72 and 5,406.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,882.54 : 13,637.72 = 5,406.25 : x
2. Step 2: Convert to fraction form
   9,882.54/13,637.72 = 5,406.25/x
3. Step 3: Cross multiply
   9,882.54x = 13,637.72 × 5,406.25
4. Step 4: Simplify right side
   9,882.54x = 73,728,923.75
5. Step 5: Solve for x
   x = 73,728,923.75/9,882.54
6. Step 6: Final answer
   x = 7,460.52