Finding the Fourth Proportional to 6,109.52, 9,155.90 and 3,181.76

Step by Step Solution

1. Step 1: Write the proportion equation
   6,109.52 : 9,155.90 = 3,181.76 : x
2. Step 2: Convert to fraction form
   6,109.52/9,155.90 = 3,181.76/x
3. Step 3: Cross multiply
   6,109.52x = 9,155.90 × 3,181.76
4. Step 4: Simplify right side
   6,109.52x = 29,131,876.38
5. Step 5: Solve for x
   x = 29,131,876.38/6,109.52
6. Step 6: Final answer
   x = 4,768.28