Finding the Fourth Proportional to 10,182.52, 14,051.14 and 5,705.64

Step by Step Solution

1. Step 1: Write the proportion equation
   10,182.52 : 14,051.14 = 5,705.64 : x
2. Step 2: Convert to fraction form
   10,182.52/14,051.14 = 5,705.64/x
3. Step 3: Cross multiply
   10,182.52x = 14,051.14 × 5,705.64
4. Step 4: Simplify right side
   10,182.52x = 80,170,746.43
5. Step 5: Solve for x
   x = 80,170,746.43/10,182.52
6. Step 6: Final answer
   x = 7,873.37