Finding the Fourth Proportional to 7,846.50, 10,824.37 and 5,196.13

Step by Step Solution

1. Step 1: Write the proportion equation
   7,846.50 : 10,824.37 = 5,196.13 : x
2. Step 2: Convert to fraction form
   7,846.50/10,824.37 = 5,196.13/x
3. Step 3: Cross multiply
   7,846.50x = 10,824.37 × 5,196.13
4. Step 4: Simplify right side
   7,846.50x = 56,244,793.64
5. Step 5: Solve for x
   x = 56,244,793.64/7,846.50
6. Step 6: Final answer
   x = 7,168.13