Finding the Fourth Proportional to 2,714.78, 3,746.12 and 1,535.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,714.78 : 3,746.12 = 1,535.63 : x
2. Step 2: Convert to fraction form
   2,714.78/3,746.12 = 1,535.63/x
3. Step 3: Cross multiply
   2,714.78x = 3,746.12 × 1,535.63
4. Step 4: Simplify right side
   2,714.78x = 5,752,627.85
5. Step 5: Solve for x
   x = 5,752,627.85/2,714.78
6. Step 6: Final answer
   x = 2,119.00