Finding the Fourth Proportional to 2,003.82, 2,764.98 and 1,415.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,003.82 : 2,764.98 = 1,415.16 : x
2. Step 2: Convert to fraction form
   2,003.82/2,764.98 = 1,415.16/x
3. Step 3: Cross multiply
   2,003.82x = 2,764.98 × 1,415.16
4. Step 4: Simplify right side
   2,003.82x = 3,912,889.10
5. Step 5: Solve for x
   x = 3,912,889.10/2,003.82
6. Step 6: Final answer
   x = 1,952.71