Finding the Fourth Proportional to 2,120.02, 3,180.72 and 1,024.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,120.02 : 3,180.72 = 1,024.10 : x
2. Step 2: Convert to fraction form
   2,120.02/3,180.72 = 1,024.10/x
3. Step 3: Cross multiply
   2,120.02x = 3,180.72 × 1,024.10
4. Step 4: Simplify right side
   2,120.02x = 3,257,375.35
5. Step 5: Solve for x
   x = 3,257,375.35/2,120.02
6. Step 6: Final answer
   x = 1,536.48