Finding the Fourth Proportional to 9,814.50, 13,544.55 and 5,623.02

Step by Step Solution

1. Step 1: Write the proportion equation
   9,814.50 : 13,544.55 = 5,623.02 : x
2. Step 2: Convert to fraction form
   9,814.50/13,544.55 = 5,623.02/x
3. Step 3: Cross multiply
   9,814.50x = 13,544.55 × 5,623.02
4. Step 4: Simplify right side
   9,814.50x = 76,161,275.54
5. Step 5: Solve for x
   x = 76,161,275.54/9,814.50
6. Step 6: Final answer
   x = 7,760.08