Finding the Fourth Proportional to 2,665.65, 3,678.27 and 1,486.64

Step by Step Solution

1. Step 1: Write the proportion equation
   2,665.65 : 3,678.27 = 1,486.64 : x
2. Step 2: Convert to fraction form
   2,665.65/3,678.27 = 1,486.64/x
3. Step 3: Cross multiply
   2,665.65x = 3,678.27 × 1,486.64
4. Step 4: Simplify right side
   2,665.65x = 5,468,263.31
5. Step 5: Solve for x
   x = 5,468,263.31/2,665.65
6. Step 6: Final answer
   x = 2,051.38