Finding the Fourth Proportional to 5,419.19, 8,142.46 and 5,200.49

Step by Step Solution

1. Step 1: Write the proportion equation
   5,419.19 : 8,142.46 = 5,200.49 : x
2. Step 2: Convert to fraction form
   5,419.19/8,142.46 = 5,200.49/x
3. Step 3: Cross multiply
   5,419.19x = 8,142.46 × 5,200.49
4. Step 4: Simplify right side
   5,419.19x = 42,344,728.09
5. Step 5: Solve for x
   x = 42,344,728.09/5,419.19
6. Step 6: Final answer
   x = 7,813.86