Finding the Fourth Proportional to 10,182.96, 14,053.32 and 5,706.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,182.96 : 14,053.32 = 5,706.63 : x
2. Step 2: Convert to fraction form
   10,182.96/14,053.32 = 5,706.63/x
3. Step 3: Cross multiply
   10,182.96x = 14,053.32 × 5,706.63
4. Step 4: Simplify right side
   10,182.96x = 80,197,097.51
5. Step 5: Solve for x
   x = 80,197,097.51/10,182.96
6. Step 6: Final answer
   x = 7,875.62