Finding the Fourth Proportional to 11,642.21, 16,059 and 7,102.82

Step by Step Solution

1. Step 1: Write the proportion equation
   11,642.21 : 16,059 = 7,102.82 : x
2. Step 2: Convert to fraction form
   11,642.21/16,059 = 7,102.82/x
3. Step 3: Cross multiply
   11,642.21x = 16,059 × 7,102.82
4. Step 4: Simplify right side
   11,642.21x = 114,064,186.38
5. Step 5: Solve for x
   x = 114,064,186.38/11,642.21
6. Step 6: Final answer
   x = 9,797.47