Finding the Fourth Proportional to 9,686.86, 13,367.27 and 5,438.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,686.86 : 13,367.27 = 5,438.50 : x
2. Step 2: Convert to fraction form
   9,686.86/13,367.27 = 5,438.50/x
3. Step 3: Cross multiply
   9,686.86x = 13,367.27 × 5,438.50
4. Step 4: Simplify right side
   9,686.86x = 72,697,897.90
5. Step 5: Solve for x
   x = 72,697,897.90/9,686.86
6. Step 6: Final answer
   x = 7,504.79