Finding the Fourth Proportional to 11,873.20, 17,818.56 and 5,633.18

Step by Step Solution

1. Step 1: Write the proportion equation
   11,873.20 : 17,818.56 = 5,633.18 : x
2. Step 2: Convert to fraction form
   11,873.20/17,818.56 = 5,633.18/x
3. Step 3: Cross multiply
   11,873.20x = 17,818.56 × 5,633.18
4. Step 4: Simplify right side
   11,873.20x = 100,375,155.82
5. Step 5: Solve for x
   x = 100,375,155.82/11,873.20
6. Step 6: Final answer
   x = 8,453.93