Finding the Fourth Proportional to 12,914.83, 19,384.37 and 6,345.73

Step by Step Solution

1. Step 1: Write the proportion equation
   12,914.83 : 19,384.37 = 6,345.73 : x
2. Step 2: Convert to fraction form
   12,914.83/19,384.37 = 6,345.73/x
3. Step 3: Cross multiply
   12,914.83x = 19,384.37 × 6,345.73
4. Step 4: Simplify right side
   12,914.83x = 123,007,849.59
5. Step 5: Solve for x
   x = 123,007,849.59/12,914.83
6. Step 6: Final answer
   x = 9,524.55