Finding the Fourth Proportional to 11,538.15, 17,302.96 and 4,140.82

Step by Step Solution

1. Step 1: Write the proportion equation
   11,538.15 : 17,302.96 = 4,140.82 : x
2. Step 2: Convert to fraction form
   11,538.15/17,302.96 = 4,140.82/x
3. Step 3: Cross multiply
   11,538.15x = 17,302.96 × 4,140.82
4. Step 4: Simplify right side
   11,538.15x = 71,648,442.83
5. Step 5: Solve for x
   x = 71,648,442.83/11,538.15
6. Step 6: Final answer
   x = 6,209.70