Finding the Fourth Proportional to 2,031.76, 2,805 and 1,411.60

Step by Step Solution

1. Step 1: Write the proportion equation
   2,031.76 : 2,805 = 1,411.60 : x
2. Step 2: Convert to fraction form
   2,031.76/2,805 = 1,411.60/x
3. Step 3: Cross multiply
   2,031.76x = 2,805 × 1,411.60
4. Step 4: Simplify right side
   2,031.76x = 3,959,538.00
5. Step 5: Solve for x
   x = 3,959,538.00/2,031.76
6. Step 6: Final answer
   x = 1,948.82