Finding the Fourth Proportional to 1,146.48, 1,582.01 and 642.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,146.48 : 1,582.01 = 642.37 : x
2. Step 2: Convert to fraction form
   1,146.48/1,582.01 = 642.37/x
3. Step 3: Cross multiply
   1,146.48x = 1,582.01 × 642.37
4. Step 4: Simplify right side
   1,146.48x = 1,016,233.41
5. Step 5: Solve for x
   x = 1,016,233.41/1,146.48
6. Step 6: Final answer
   x = 886.39