Finding the Fourth Proportional to 7,849.60, 10,831.13 and 5,200.59

Step by Step Solution

1. Step 1: Write the proportion equation
   7,849.60 : 10,831.13 = 5,200.59 : x
2. Step 2: Convert to fraction form
   7,849.60/10,831.13 = 5,200.59/x
3. Step 3: Cross multiply
   7,849.60x = 10,831.13 × 5,200.59
4. Step 4: Simplify right side
   7,849.60x = 56,328,266.37
5. Step 5: Solve for x
   x = 56,328,266.37/7,849.60
6. Step 6: Final answer
   x = 7,175.94