Finding the Fourth Proportional to 10,188.78, 15,284.33 and 9,142.37

Step by Step Solution

1. Step 1: Write the proportion equation
   10,188.78 : 15,284.33 = 9,142.37 : x
2. Step 2: Convert to fraction form
   10,188.78/15,284.33 = 9,142.37/x
3. Step 3: Cross multiply
   10,188.78x = 15,284.33 × 9,142.37
4. Step 4: Simplify right side
   10,188.78x = 139,734,946.50
5. Step 5: Solve for x
   x = 139,734,946.50/10,188.78
6. Step 6: Final answer
   x = 13,714.59