Finding the Fourth Proportional to 14,123.64, 19,490.16 and 7,836.48

Step by Step Solution

1. Step 1: Write the proportion equation
   14,123.64 : 19,490.16 = 7,836.48 : x
2. Step 2: Convert to fraction form
   14,123.64/19,490.16 = 7,836.48/x
3. Step 3: Cross multiply
   14,123.64x = 19,490.16 × 7,836.48
4. Step 4: Simplify right side
   14,123.64x = 152,734,249.04
5. Step 5: Solve for x
   x = 152,734,249.04/14,123.64
6. Step 6: Final answer
   x = 10,814.09