Finding the Fourth Proportional to 11,908.34, 17,838.28 and 7,735.69

Step by Step Solution

1. Step 1: Write the proportion equation
   11,908.34 : 17,838.28 = 7,735.69 : x
2. Step 2: Convert to fraction form
   11,908.34/17,838.28 = 7,735.69/x
3. Step 3: Cross multiply
   11,908.34x = 17,838.28 × 7,735.69
4. Step 4: Simplify right side
   11,908.34x = 137,991,404.21
5. Step 5: Solve for x
   x = 137,991,404.21/11,908.34
6. Step 6: Final answer
   x = 11,587.80