Finding the Fourth Proportional to 10,147.50, 13,977.52 and 7,158.09

Step by Step Solution

1. Step 1: Write the proportion equation
   10,147.50 : 13,977.52 = 7,158.09 : x
2. Step 2: Convert to fraction form
   10,147.50/13,977.52 = 7,158.09/x
3. Step 3: Cross multiply
   10,147.50x = 13,977.52 × 7,158.09
4. Step 4: Simplify right side
   10,147.50x = 100,052,346.14
5. Step 5: Solve for x
   x = 100,052,346.14/10,147.50
6. Step 6: Final answer
   x = 9,859.80