Finding the Fourth Proportional to 3,642.82, 5,463.91 and 1,887.74

Step by Step Solution

1. Step 1: Write the proportion equation
   3,642.82 : 5,463.91 = 1,887.74 : x
2. Step 2: Convert to fraction form
   3,642.82/5,463.91 = 1,887.74/x
3. Step 3: Cross multiply
   3,642.82x = 5,463.91 × 1,887.74
4. Step 4: Simplify right side
   3,642.82x = 10,314,441.46
5. Step 5: Solve for x
   x = 10,314,441.46/3,642.82
6. Step 6: Final answer
   x = 2,831.44