Finding the Fourth Proportional to 22,556.16, 33,838.56 and 7,761.60

Step by Step Solution

1. Step 1: Write the proportion equation
   22,556.16 : 33,838.56 = 7,761.60 : x
2. Step 2: Convert to fraction form
   22,556.16/33,838.56 = 7,761.60/x
3. Step 3: Cross multiply
   22,556.16x = 33,838.56 × 7,761.60
4. Step 4: Simplify right side
   22,556.16x = 262,641,367.30
5. Step 5: Solve for x
   x = 262,641,367.30/22,556.16
6. Step 6: Final answer
   x = 11,643.89