Finding the Fourth Proportional to 10,159.21, 14,019.64 and 5,682.94

Step by Step Solution

1. Step 1: Write the proportion equation
   10,159.21 : 14,019.64 = 5,682.94 : x
2. Step 2: Convert to fraction form
   10,159.21/14,019.64 = 5,682.94/x
3. Step 3: Cross multiply
   10,159.21x = 14,019.64 × 5,682.94
4. Step 4: Simplify right side
   10,159.21x = 79,672,772.94
5. Step 5: Solve for x
   x = 79,672,772.94/10,159.21
6. Step 6: Final answer
   x = 7,842.42