Finding the Fourth Proportional to 5,143.50, 7,677.18 and 5,019.21

Step by Step Solution

1. Step 1: Write the proportion equation
   5,143.50 : 7,677.18 = 5,019.21 : x
2. Step 2: Convert to fraction form
   5,143.50/7,677.18 = 5,019.21/x
3. Step 3: Cross multiply
   5,143.50x = 7,677.18 × 5,019.21
4. Step 4: Simplify right side
   5,143.50x = 38,533,378.63
5. Step 5: Solve for x
   x = 38,533,378.63/5,143.50
6. Step 6: Final answer
   x = 7,491.66