Finding the Fourth Proportional to 942.58, 1,413.62 and 667.86

Step by Step Solution

1. Step 1: Write the proportion equation
   942.58 : 1,413.62 = 667.86 : x
2. Step 2: Convert to fraction form
   942.58/1,413.62 = 667.86/x
3. Step 3: Cross multiply
   942.58x = 1,413.62 × 667.86
4. Step 4: Simplify right side
   942.58x = 944,100.25
5. Step 5: Solve for x
   x = 944,100.25/942.58
6. Step 6: Final answer
   x = 1,001.61