Finding the Fourth Proportional to 9,428.27, 13,010.42 and 5,178.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,428.27 : 13,010.42 = 5,178.50 : x
2. Step 2: Convert to fraction form
   9,428.27/13,010.42 = 5,178.50/x
3. Step 3: Cross multiply
   9,428.27x = 13,010.42 × 5,178.50
4. Step 4: Simplify right side
   9,428.27x = 67,374,456.65
5. Step 5: Solve for x
   x = 67,374,456.65/9,428.27
6. Step 6: Final answer
   x = 7,146.01