Finding the Fourth Proportional to 2,556.58, 3,829.46 and 1,460.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,556.58 : 3,829.46 = 1,460.38 : x
2. Step 2: Convert to fraction form
   2,556.58/3,829.46 = 1,460.38/x
3. Step 3: Cross multiply
   2,556.58x = 3,829.46 × 1,460.38
4. Step 4: Simplify right side
   2,556.58x = 5,592,466.79
5. Step 5: Solve for x
   x = 5,592,466.79/2,556.58
6. Step 6: Final answer
   x = 2,187.48