Finding the Fourth Proportional to 9,193.22, 12,686.73 and 5,466.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,193.22 : 12,686.73 = 5,466.50 : x
2. Step 2: Convert to fraction form
   9,193.22/12,686.73 = 5,466.50/x
3. Step 3: Cross multiply
   9,193.22x = 12,686.73 × 5,466.50
4. Step 4: Simplify right side
   9,193.22x = 69,352,009.55
5. Step 5: Solve for x
   x = 69,352,009.55/9,193.22
6. Step 6: Final answer
   x = 7,543.82