Finding the Fourth Proportional to 7,851.78, 10,838.16 and 5,500.80

Step by Step Solution

1. Step 1: Write the proportion equation
   7,851.78 : 10,838.16 = 5,500.80 : x
2. Step 2: Convert to fraction form
   7,851.78/10,838.16 = 5,500.80/x
3. Step 3: Cross multiply
   7,851.78x = 10,838.16 × 5,500.80
4. Step 4: Simplify right side
   7,851.78x = 59,618,550.53
5. Step 5: Solve for x
   x = 59,618,550.53/7,851.78
6. Step 6: Final answer
   x = 7,593.00