Finding the Fourth Proportional to 10,185.34, 15,255.42 and 7,827.98

Step by Step Solution

1. Step 1: Write the proportion equation
   10,185.34 : 15,255.42 = 7,827.98 : x
2. Step 2: Convert to fraction form
   10,185.34/15,255.42 = 7,827.98/x
3. Step 3: Cross multiply
   10,185.34x = 15,255.42 × 7,827.98
4. Step 4: Simplify right side
   10,185.34x = 119,419,122.65
5. Step 5: Solve for x
   x = 119,419,122.65/10,185.34
6. Step 6: Final answer
   x = 11,724.61