Finding the Fourth Proportional to 1,640.72, 2,263.92 and 942.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,640.72 : 2,263.92 = 942.14 : x
2. Step 2: Convert to fraction form
   1,640.72/2,263.92 = 942.14/x
3. Step 3: Cross multiply
   1,640.72x = 2,263.92 × 942.14
4. Step 4: Simplify right side
   1,640.72x = 2,132,929.59
5. Step 5: Solve for x
   x = 2,132,929.59/1,640.72
6. Step 6: Final answer
   x = 1,300.00