Finding the Fourth Proportional to 2,714.34, 3,746.49 and 1,536.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,714.34 : 3,746.49 = 1,536.10 : x
2. Step 2: Convert to fraction form
   2,714.34/3,746.49 = 1,536.10/x
3. Step 3: Cross multiply
   2,714.34x = 3,746.49 × 1,536.10
4. Step 4: Simplify right side
   2,714.34x = 5,754,968.16
5. Step 5: Solve for x
   x = 5,754,968.16/2,714.34
6. Step 6: Final answer
   x = 2,120.21