Finding the Fourth Proportional to 9,911.96, 13,678.50 and 5,604.80

Step by Step Solution

1. Step 1: Write the proportion equation
   9,911.96 : 13,678.50 = 5,604.80 : x
2. Step 2: Convert to fraction form
   9,911.96/13,678.50 = 5,604.80/x
3. Step 3: Cross multiply
   9,911.96x = 13,678.50 × 5,604.80
4. Step 4: Simplify right side
   9,911.96x = 76,665,256.80
5. Step 5: Solve for x
   x = 76,665,256.80/9,911.96
6. Step 6: Final answer
   x = 7,734.62