Finding the Fourth Proportional to 10,182.38, 14,051.21 and 5,706.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,182.38 : 14,051.21 = 5,706.50 : x
2. Step 2: Convert to fraction form
   10,182.38/14,051.21 = 5,706.50/x
3. Step 3: Cross multiply
   10,182.38x = 14,051.21 × 5,706.50
4. Step 4: Simplify right side
   10,182.38x = 80,183,131.08
5. Step 5: Solve for x
   x = 80,183,131.08/10,182.38
6. Step 6: Final answer
   x = 7,874.70