Finding the Fourth Proportional to 11,684.24, 16,111.97 and 7,700.25

Step by Step Solution

1. Step 1: Write the proportion equation
   11,684.24 : 16,111.97 = 7,700.25 : x
2. Step 2: Convert to fraction form
   11,684.24/16,111.97 = 7,700.25/x
3. Step 3: Cross multiply
   11,684.24x = 16,111.97 × 7,700.25
4. Step 4: Simplify right side
   11,684.24x = 124,066,187.37
5. Step 5: Solve for x
   x = 124,066,187.37/11,684.24
6. Step 6: Final answer
   x = 10,618.26