Finding the Fourth Proportional to 1,409.58, 1,945.71 and 992.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,409.58 : 1,945.71 = 992.22 : x
2. Step 2: Convert to fraction form
   1,409.58/1,945.71 = 992.22/x
3. Step 3: Cross multiply
   1,409.58x = 1,945.71 × 992.22
4. Step 4: Simplify right side
   1,409.58x = 1,930,572.38
5. Step 5: Solve for x
   x = 1,930,572.38/1,409.58
6. Step 6: Final answer
   x = 1,369.61