Finding the Fourth Proportional to 11,982.21, 16,538.39 and 7,738

Step by Step Solution

1. Step 1: Write the proportion equation
   11,982.21 : 16,538.39 = 7,738 : x
2. Step 2: Convert to fraction form
   11,982.21/16,538.39 = 7,738/x
3. Step 3: Cross multiply
   11,982.21x = 16,538.39 × 7,738
4. Step 4: Simplify right side
   11,982.21x = 127,974,061.82
5. Step 5: Solve for x
   x = 127,974,061.82/11,982.21
6. Step 6: Final answer
   x = 10,680.34