Finding the Fourth Proportional to 9,427.37, 13,009.41 and 5,178.30

Step by Step Solution

1. Step 1: Write the proportion equation
   9,427.37 : 13,009.41 = 5,178.30 : x
2. Step 2: Convert to fraction form
   9,427.37/13,009.41 = 5,178.30/x
3. Step 3: Cross multiply
   9,427.37x = 13,009.41 × 5,178.30
4. Step 4: Simplify right side
   9,427.37x = 67,366,579.02
5. Step 5: Solve for x
   x = 67,366,579.02/9,427.37
6. Step 6: Final answer
   x = 7,145.85