Finding the Fourth Proportional to 13,978.50, 19,280.57 and 9,196.94

Step by Step Solution

1. Step 1: Write the proportion equation
   13,978.50 : 19,280.57 = 9,196.94 : x
2. Step 2: Convert to fraction form
   13,978.50/19,280.57 = 9,196.94/x
3. Step 3: Cross multiply
   13,978.50x = 19,280.57 × 9,196.94
4. Step 4: Simplify right side
   13,978.50x = 177,322,103.07
5. Step 5: Solve for x
   x = 177,322,103.07/13,978.50
6. Step 6: Final answer
   x = 12,685.35