Finding the Fourth Proportional to 3,758.82, 5,633.44 and 1,784.46

Step by Step Solution

1. Step 1: Write the proportion equation
   3,758.82 : 5,633.44 = 1,784.46 : x
2. Step 2: Convert to fraction form
   3,758.82/5,633.44 = 1,784.46/x
3. Step 3: Cross multiply
   3,758.82x = 5,633.44 × 1,784.46
4. Step 4: Simplify right side
   3,758.82x = 10,052,648.34
5. Step 5: Solve for x
   x = 10,052,648.34/3,758.82
6. Step 6: Final answer
   x = 2,674.42