Finding the Fourth Proportional to 10,182.33, 14,048.46 and 5,705.46

Step by Step Solution

1. Step 1: Write the proportion equation
   10,182.33 : 14,048.46 = 5,705.46 : x
2. Step 2: Convert to fraction form
   10,182.33/14,048.46 = 5,705.46/x
3. Step 3: Cross multiply
   10,182.33x = 14,048.46 × 5,705.46
4. Step 4: Simplify right side
   10,182.33x = 80,152,926.59
5. Step 5: Solve for x
   x = 80,152,926.59/10,182.33
6. Step 6: Final answer
   x = 7,871.77