Finding the Fourth Proportional to 10,158.37, 14,017.58 and 5,682.01

Step by Step Solution

1. Step 1: Write the proportion equation
   10,158.37 : 14,017.58 = 5,682.01 : x
2. Step 2: Convert to fraction form
   10,158.37/14,017.58 = 5,682.01/x
3. Step 3: Cross multiply
   10,158.37x = 14,017.58 × 5,682.01
4. Step 4: Simplify right side
   10,158.37x = 79,648,029.74
5. Step 5: Solve for x
   x = 79,648,029.74/10,158.37
6. Step 6: Final answer
   x = 7,840.63