Finding the Fourth Proportional to 2,005.86, 3,000.88 and 1,540.12

Step by Step Solution

1. Step 1: Write the proportion equation
   2,005.86 : 3,000.88 = 1,540.12 : x
2. Step 2: Convert to fraction form
   2,005.86/3,000.88 = 1,540.12/x
3. Step 3: Cross multiply
   2,005.86x = 3,000.88 × 1,540.12
4. Step 4: Simplify right side
   2,005.86x = 4,621,715.31
5. Step 5: Solve for x
   x = 4,621,715.31/2,005.86
6. Step 6: Final answer
   x = 2,304.11