Finding the Fourth Proportional to 11,876.76, 17,809.98 and 5,638.56

Step by Step Solution

1. Step 1: Write the proportion equation
   11,876.76 : 17,809.98 = 5,638.56 : x
2. Step 2: Convert to fraction form
   11,876.76/17,809.98 = 5,638.56/x
3. Step 3: Cross multiply
   11,876.76x = 17,809.98 × 5,638.56
4. Step 4: Simplify right side
   11,876.76x = 100,422,640.83
5. Step 5: Solve for x
   x = 100,422,640.83/11,876.76
6. Step 6: Final answer
   x = 8,455.39