Finding the Fourth Proportional to 10,725.75, 16,093.49 and 5,178.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,725.75 : 16,093.49 = 5,178.06 : x
2. Step 2: Convert to fraction form
   10,725.75/16,093.49 = 5,178.06/x
3. Step 3: Cross multiply
   10,725.75x = 16,093.49 × 5,178.06
4. Step 4: Simplify right side
   10,725.75x = 83,333,030.94
5. Step 5: Solve for x
   x = 83,333,030.94/10,725.75
6. Step 6: Final answer
   x = 7,769.44