Finding the Fourth Proportional to 11,648.18, 16,077.75 and 7,171.31

Step by Step Solution

1. Step 1: Write the proportion equation
   11,648.18 : 16,077.75 = 7,171.31 : x
2. Step 2: Convert to fraction form
   11,648.18/16,077.75 = 7,171.31/x
3. Step 3: Cross multiply
   11,648.18x = 16,077.75 × 7,171.31
4. Step 4: Simplify right side
   11,648.18x = 115,298,529.35
5. Step 5: Solve for x
   x = 115,298,529.35/11,648.18
6. Step 6: Final answer
   x = 9,898.42