Finding the Fourth Proportional to 9,686.25, 13,367.16 and 5,494.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,686.25 : 13,367.16 = 5,494.50 : x
2. Step 2: Convert to fraction form
   9,686.25/13,367.16 = 5,494.50/x
3. Step 3: Cross multiply
   9,686.25x = 13,367.16 × 5,494.50
4. Step 4: Simplify right side
   9,686.25x = 73,445,860.62
5. Step 5: Solve for x
   x = 73,445,860.62/9,686.25
6. Step 6: Final answer
   x = 7,582.49