Finding the Fourth Proportional to 11,886.32, 17,833.80 and 5,648.24

Step by Step Solution

1. Step 1: Write the proportion equation
   11,886.32 : 17,833.80 = 5,648.24 : x
2. Step 2: Convert to fraction form
   11,886.32/17,833.80 = 5,648.24/x
3. Step 3: Cross multiply
   11,886.32x = 17,833.80 × 5,648.24
4. Step 4: Simplify right side
   11,886.32x = 100,729,582.51
5. Step 5: Solve for x
   x = 100,729,582.51/11,886.32
6. Step 6: Final answer
   x = 8,474.41