Finding the Fourth Proportional to 11,461.58, 15,826.37 and 7,219.47

Step by Step Solution

1. Step 1: Write the proportion equation
   11,461.58 : 15,826.37 = 7,219.47 : x
2. Step 2: Convert to fraction form
   11,461.58/15,826.37 = 7,219.47/x
3. Step 3: Cross multiply
   11,461.58x = 15,826.37 × 7,219.47
4. Step 4: Simplify right side
   11,461.58x = 114,258,003.42
5. Step 5: Solve for x
   x = 114,258,003.42/11,461.58
6. Step 6: Final answer
   x = 9,968.79