Finding the Fourth Proportional to 11,873.82, 17,815.05 and 5,635.74

Step by Step Solution

1. Step 1: Write the proportion equation
   11,873.82 : 17,815.05 = 5,635.74 : x
2. Step 2: Convert to fraction form
   11,873.82/17,815.05 = 5,635.74/x
3. Step 3: Cross multiply
   11,873.82x = 17,815.05 × 5,635.74
4. Step 4: Simplify right side
   11,873.82x = 100,400,989.89
5. Step 5: Solve for x
   x = 100,400,989.89/11,873.82
6. Step 6: Final answer
   x = 8,455.66