Finding the Fourth Proportional to 2,665.58, 3,678.42 and 1,486.64

Step by Step Solution

1. Step 1: Write the proportion equation
   2,665.58 : 3,678.42 = 1,486.64 : x
2. Step 2: Convert to fraction form
   2,665.58/3,678.42 = 1,486.64/x
3. Step 3: Cross multiply
   2,665.58x = 3,678.42 × 1,486.64
4. Step 4: Simplify right side
   2,665.58x = 5,468,486.31
5. Step 5: Solve for x
   x = 5,468,486.31/2,665.58
6. Step 6: Final answer
   x = 2,051.52