Finding the Fourth Proportional to 9,427.41, 13,010.31 and 5,178.69

Step by Step Solution

1. Step 1: Write the proportion equation
   9,427.41 : 13,010.31 = 5,178.69 : x
2. Step 2: Convert to fraction form
   9,427.41/13,010.31 = 5,178.69/x
3. Step 3: Cross multiply
   9,427.41x = 13,010.31 × 5,178.69
4. Step 4: Simplify right side
   9,427.41x = 67,376,362.29
5. Step 5: Solve for x
   x = 67,376,362.29/9,427.41
6. Step 6: Final answer
   x = 7,146.86