Finding the Fourth Proportional to 2,556.61, 3,835.82 and 1,461.89

Step by Step Solution

1. Step 1: Write the proportion equation
   2,556.61 : 3,835.82 = 1,461.89 : x
2. Step 2: Convert to fraction form
   2,556.61/3,835.82 = 1,461.89/x
3. Step 3: Cross multiply
   2,556.61x = 3,835.82 × 1,461.89
4. Step 4: Simplify right side
   2,556.61x = 5,607,560.14
5. Step 5: Solve for x
   x = 5,607,560.14/2,556.61
6. Step 6: Final answer
   x = 2,193.36