Finding the Fourth Proportional to 2,051.42, 3,077.88 and 1,185.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,051.42 : 3,077.88 = 1,185.50 : x
2. Step 2: Convert to fraction form
   2,051.42/3,077.88 = 1,185.50/x
3. Step 3: Cross multiply
   2,051.42x = 3,077.88 × 1,185.50
4. Step 4: Simplify right side
   2,051.42x = 3,648,826.74
5. Step 5: Solve for x
   x = 3,648,826.74/2,051.42
6. Step 6: Final answer
   x = 1,778.68