Finding the Fourth Proportional to 10,146.50, 13,976.15 and 7,157.09

Step by Step Solution

1. Step 1: Write the proportion equation
   10,146.50 : 13,976.15 = 7,157.09 : x
2. Step 2: Convert to fraction form
   10,146.50/13,976.15 = 7,157.09/x
3. Step 3: Cross multiply
   10,146.50x = 13,976.15 × 7,157.09
4. Step 4: Simplify right side
   10,146.50x = 100,028,562.56
5. Step 5: Solve for x
   x = 100,028,562.56/10,146.50
6. Step 6: Final answer
   x = 9,858.43