Finding the Fourth Proportional to 3,778.82, 5,669.46 and 1,588.16

Step by Step Solution

1. Step 1: Write the proportion equation
   3,778.82 : 5,669.46 = 1,588.16 : x
2. Step 2: Convert to fraction form
   3,778.82/5,669.46 = 1,588.16/x
3. Step 3: Cross multiply
   3,778.82x = 5,669.46 × 1,588.16
4. Step 4: Simplify right side
   3,778.82x = 9,004,009.59
5. Step 5: Solve for x
   x = 9,004,009.59/3,778.82
6. Step 6: Final answer
   x = 2,382.76