Finding the Fourth Proportional to 10,142.73, 13,980.24 and 6,784.34

Step by Step Solution

1. Step 1: Write the proportion equation
   10,142.73 : 13,980.24 = 6,784.34 : x
2. Step 2: Convert to fraction form
   10,142.73/13,980.24 = 6,784.34/x
3. Step 3: Cross multiply
   10,142.73x = 13,980.24 × 6,784.34
4. Step 4: Simplify right side
   10,142.73x = 94,846,631.54
5. Step 5: Solve for x
   x = 94,846,631.54/10,142.73
6. Step 6: Final answer
   x = 9,351.19