Finding the Fourth Proportional to 2,555.86, 3,835.27 and 1,461.00

Step by Step Solution

1. Step 1: Write the proportion equation
   2,555.86 : 3,835.27 = 1,461.00 : x
2. Step 2: Convert to fraction form
   2,555.86/3,835.27 = 1,461.00/x
3. Step 3: Cross multiply
   2,555.86x = 3,835.27 × 1,461.00
4. Step 4: Simplify right side
   2,555.86x = 5,603,317.43
5. Step 5: Solve for x
   x = 5,603,317.43/2,555.86
6. Step 6: Final answer
   x = 2,192.34