Finding the Fourth Proportional to 10,196.78, 14,072.27 and 5,948.87

Step by Step Solution

1. Step 1: Write the proportion equation
   10,196.78 : 14,072.27 = 5,948.87 : x
2. Step 2: Convert to fraction form
   10,196.78/14,072.27 = 5,948.87/x
3. Step 3: Cross multiply
   10,196.78x = 14,072.27 × 5,948.87
4. Step 4: Simplify right side
   10,196.78x = 83,714,004.73
5. Step 5: Solve for x
   x = 83,714,004.73/10,196.78
6. Step 6: Final answer
   x = 8,209.85