Finding the Fourth Proportional to 8,109.01, 12,164.72 and 2,561.10

Step by Step Solution

1. Step 1: Write the proportion equation
   8,109.01 : 12,164.72 = 2,561.10 : x
2. Step 2: Convert to fraction form
   8,109.01/12,164.72 = 2,561.10/x
3. Step 3: Cross multiply
   8,109.01x = 12,164.72 × 2,561.10
4. Step 4: Simplify right side
   8,109.01x = 31,155,005.97
5. Step 5: Solve for x
   x = 31,155,005.97/8,109.01
6. Step 6: Final answer
   x = 3,842.02