Finding the Fourth Proportional to 2,556.32, 3,836 and 1,462.24

Step by Step Solution

1. Step 1: Write the proportion equation
   2,556.32 : 3,836 = 1,462.24 : x
2. Step 2: Convert to fraction form
   2,556.32/3,836 = 1,462.24/x
3. Step 3: Cross multiply
   2,556.32x = 3,836 × 1,462.24
4. Step 4: Simplify right side
   2,556.32x = 5,609,152.64
5. Step 5: Solve for x
   x = 5,609,152.64/2,556.32
6. Step 6: Final answer
   x = 2,194.23