Finding the Fourth Proportional to 9,814.75, 13,544.49 and 5,623

Step by Step Solution

1. Step 1: Write the proportion equation
   9,814.75 : 13,544.49 = 5,623 : x
2. Step 2: Convert to fraction form
   9,814.75/13,544.49 = 5,623/x
3. Step 3: Cross multiply
   9,814.75x = 13,544.49 × 5,623
4. Step 4: Simplify right side
   9,814.75x = 76,160,667.27
5. Step 5: Solve for x
   x = 76,160,667.27/9,814.75
6. Step 6: Final answer
   x = 7,759.82