Finding the Fourth Proportional to 9,814.77, 13,544.15 and 5,622.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,814.77 : 13,544.15 = 5,622.75 : x
2. Step 2: Convert to fraction form
   9,814.77/13,544.15 = 5,622.75/x
3. Step 3: Cross multiply
   9,814.77x = 13,544.15 × 5,622.75
4. Step 4: Simplify right side
   9,814.77x = 76,155,341.30
5. Step 5: Solve for x
   x = 76,155,341.30/9,814.77
6. Step 6: Final answer
   x = 7,759.26