Finding the Fourth Proportional to 10,159.84, 14,019.78 and 5,683.24

Step by Step Solution

1. Step 1: Write the proportion equation
   10,159.84 : 14,019.78 = 5,683.24 : x
2. Step 2: Convert to fraction form
   10,159.84/14,019.78 = 5,683.24/x
3. Step 3: Cross multiply
   10,159.84x = 14,019.78 × 5,683.24
4. Step 4: Simplify right side
   10,159.84x = 79,677,774.49
5. Step 5: Solve for x
   x = 79,677,774.49/10,159.84
6. Step 6: Final answer
   x = 7,842.42