Finding the Fourth Proportional to 11,855.30, 16,363.72 and 7,825.07

Step by Step Solution

1. Step 1: Write the proportion equation
   11,855.30 : 16,363.72 = 7,825.07 : x
2. Step 2: Convert to fraction form
   11,855.30/16,363.72 = 7,825.07/x
3. Step 3: Cross multiply
   11,855.30x = 16,363.72 × 7,825.07
4. Step 4: Simplify right side
   11,855.30x = 128,047,185.09
5. Step 5: Solve for x
   x = 128,047,185.09/11,855.30
6. Step 6: Final answer
   x = 10,800.84