Finding the Fourth Proportional to 10,157.86, 14,018.53 and 5,682.03

Step by Step Solution

1. Step 1: Write the proportion equation
   10,157.86 : 14,018.53 = 5,682.03 : x
2. Step 2: Convert to fraction form
   10,157.86/14,018.53 = 5,682.03/x
3. Step 3: Cross multiply
   10,157.86x = 14,018.53 × 5,682.03
4. Step 4: Simplify right side
   10,157.86x = 79,653,708.02
5. Step 5: Solve for x
   x = 79,653,708.02/10,157.86
6. Step 6: Final answer
   x = 7,841.58