Finding the Fourth Proportional to 9,814.25, 13,544.01 and 5,623.31

Step by Step Solution

1. Step 1: Write the proportion equation
   9,814.25 : 13,544.01 = 5,623.31 : x
2. Step 2: Convert to fraction form
   9,814.25/13,544.01 = 5,623.31/x
3. Step 3: Cross multiply
   9,814.25x = 13,544.01 × 5,623.31
4. Step 4: Simplify right side
   9,814.25x = 76,162,099.15
5. Step 5: Solve for x
   x = 76,162,099.15/9,814.25
6. Step 6: Final answer
   x = 7,760.36