Finding the Fourth Proportional to 2,005.58, 2,762.56 and 1,415.08

Step by Step Solution

1. Step 1: Write the proportion equation
   2,005.58 : 2,762.56 = 1,415.08 : x
2. Step 2: Convert to fraction form
   2,005.58/2,762.56 = 1,415.08/x
3. Step 3: Cross multiply
   2,005.58x = 2,762.56 × 1,415.08
4. Step 4: Simplify right side
   2,005.58x = 3,909,243.40
5. Step 5: Solve for x
   x = 3,909,243.40/2,005.58
6. Step 6: Final answer
   x = 1,949.18