Finding the Fourth Proportional to 10,056.57, 14,978.63 and 9,529.65

Step by Step Solution

1. Step 1: Write the proportion equation
   10,056.57 : 14,978.63 = 9,529.65 : x
2. Step 2: Convert to fraction form
   10,056.57/14,978.63 = 9,529.65/x
3. Step 3: Cross multiply
   10,056.57x = 14,978.63 × 9,529.65
4. Step 4: Simplify right side
   10,056.57x = 142,741,053.73
5. Step 5: Solve for x
   x = 142,741,053.73/10,056.57
6. Step 6: Final answer
   x = 14,193.81