Finding the Fourth Proportional to 1,106.87, 1,659.23 and 942.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,106.87 : 1,659.23 = 942.71 : x
2. Step 2: Convert to fraction form
   1,106.87/1,659.23 = 942.71/x
3. Step 3: Cross multiply
   1,106.87x = 1,659.23 × 942.71
4. Step 4: Simplify right side
   1,106.87x = 1,564,168.00
5. Step 5: Solve for x
   x = 1,564,168.00/1,106.87
6. Step 6: Final answer
   x = 1,413.15