Finding the Fourth Proportional to 9,199.86, 12,695.67 and 5,662.99

Step by Step Solution

1. Step 1: Write the proportion equation
   9,199.86 : 12,695.67 = 5,662.99 : x
2. Step 2: Convert to fraction form
   9,199.86/12,695.67 = 5,662.99/x
3. Step 3: Cross multiply
   9,199.86x = 12,695.67 × 5,662.99
4. Step 4: Simplify right side
   9,199.86x = 71,895,452.25
5. Step 5: Solve for x
   x = 71,895,452.25/9,199.86
6. Step 6: Final answer
   x = 7,814.84