Finding the Fourth Proportional to 10,158.63, 14,019.24 and 5,682.57

Step by Step Solution

1. Step 1: Write the proportion equation
   10,158.63 : 14,019.24 = 5,682.57 : x
2. Step 2: Convert to fraction form
   10,158.63/14,019.24 = 5,682.57/x
3. Step 3: Cross multiply
   10,158.63x = 14,019.24 × 5,682.57
4. Step 4: Simplify right side
   10,158.63x = 79,665,312.65
5. Step 5: Solve for x
   x = 79,665,312.65/10,158.63
6. Step 6: Final answer
   x = 7,842.13