Finding the Fourth Proportional to 7,793.50, 10,756.02 and 5,146.42

Step by Step Solution

1. Step 1: Write the proportion equation
   7,793.50 : 10,756.02 = 5,146.42 : x
2. Step 2: Convert to fraction form
   7,793.50/10,756.02 = 5,146.42/x
3. Step 3: Cross multiply
   7,793.50x = 10,756.02 × 5,146.42
4. Step 4: Simplify right side
   7,793.50x = 55,354,996.45
5. Step 5: Solve for x
   x = 55,354,996.45/7,793.50
6. Step 6: Final answer
   x = 7,102.71