Finding the Fourth Proportional to 7,851.83, 10,838.37 and 5,200.10

Step by Step Solution

1. Step 1: Write the proportion equation
   7,851.83 : 10,838.37 = 5,200.10 : x
2. Step 2: Convert to fraction form
   7,851.83/10,838.37 = 5,200.10/x
3. Step 3: Cross multiply
   7,851.83x = 10,838.37 × 5,200.10
4. Step 4: Simplify right side
   7,851.83x = 56,360,607.84
5. Step 5: Solve for x
   x = 56,360,607.84/7,851.83
6. Step 6: Final answer
   x = 7,178.02