Finding the Fourth Proportional to 9,812.80, 13,543.61 and 5,563.94

Step by Step Solution

1. Step 1: Write the proportion equation
   9,812.80 : 13,543.61 = 5,563.94 : x
2. Step 2: Convert to fraction form
   9,812.80/13,543.61 = 5,563.94/x
3. Step 3: Cross multiply
   9,812.80x = 13,543.61 × 5,563.94
4. Step 4: Simplify right side
   9,812.80x = 75,355,814.07
5. Step 5: Solve for x
   x = 75,355,814.07/9,812.80
6. Step 6: Final answer
   x = 7,679.34