Finding the Fourth Proportional to 11,886.22, 17,821.02 and 5,219.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,886.22 : 17,821.02 = 5,219.50 : x
2. Step 2: Convert to fraction form
   11,886.22/17,821.02 = 5,219.50/x
3. Step 3: Cross multiply
   11,886.22x = 17,821.02 × 5,219.50
4. Step 4: Simplify right side
   11,886.22x = 93,016,813.89
5. Step 5: Solve for x
   x = 93,016,813.89/11,886.22
6. Step 6: Final answer
   x = 7,825.60