Finding the Fourth Proportional to 7,348.76, 10,146.41 and 5,644.42

Step by Step Solution

1. Step 1: Write the proportion equation
   7,348.76 : 10,146.41 = 5,644.42 : x
2. Step 2: Convert to fraction form
   7,348.76/10,146.41 = 5,644.42/x
3. Step 3: Cross multiply
   7,348.76x = 10,146.41 × 5,644.42
4. Step 4: Simplify right side
   7,348.76x = 57,270,598.86
5. Step 5: Solve for x
   x = 57,270,598.86/7,348.76
6. Step 6: Final answer
   x = 7,793.23