Finding the Fourth Proportional to 10,159.46, 14,019.98 and 5,683.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,159.46 : 14,019.98 = 5,683.20 : x
2. Step 2: Convert to fraction form
   10,159.46/14,019.98 = 5,683.20/x
3. Step 3: Cross multiply
   10,159.46x = 14,019.98 × 5,683.20
4. Step 4: Simplify right side
   10,159.46x = 79,678,350.34
5. Step 5: Solve for x
   x = 79,678,350.34/10,159.46
6. Step 6: Final answer
   x = 7,842.77