Finding the Fourth Proportional to 7,828.38, 10,807.83 and 5,178.06

Step by Step Solution

1. Step 1: Write the proportion equation
   7,828.38 : 10,807.83 = 5,178.06 : x
2. Step 2: Convert to fraction form
   7,828.38/10,807.83 = 5,178.06/x
3. Step 3: Cross multiply
   7,828.38x = 10,807.83 × 5,178.06
4. Step 4: Simplify right side
   7,828.38x = 55,963,592.21
5. Step 5: Solve for x
   x = 55,963,592.21/7,828.38
6. Step 6: Final answer
   x = 7,148.81