Finding the Fourth Proportional to 9,565.86, 14,322.06 and 5,167.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,565.86 : 14,322.06 = 5,167.56 : x
2. Step 2: Convert to fraction form
   9,565.86/14,322.06 = 5,167.56/x
3. Step 3: Cross multiply
   9,565.86x = 14,322.06 × 5,167.56
4. Step 4: Simplify right side
   9,565.86x = 74,010,104.37
5. Step 5: Solve for x
   x = 74,010,104.37/9,565.86
6. Step 6: Final answer
   x = 7,736.90