Finding the Fourth Proportional to 10,182.14, 14,051.23 and 5,705.87

Step by Step Solution

1. Step 1: Write the proportion equation
   10,182.14 : 14,051.23 = 5,705.87 : x
2. Step 2: Convert to fraction form
   10,182.14/14,051.23 = 5,705.87/x
3. Step 3: Cross multiply
   10,182.14x = 14,051.23 × 5,705.87
4. Step 4: Simplify right side
   10,182.14x = 80,174,491.72
5. Step 5: Solve for x
   x = 80,174,491.72/10,182.14
6. Step 6: Final answer
   x = 7,874.03