Finding the Fourth Proportional to 1,640.42, 2,263.71 and 941.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,640.42 : 2,263.71 = 941.78 : x
2. Step 2: Convert to fraction form
   1,640.42/2,263.71 = 941.78/x
3. Step 3: Cross multiply
   1,640.42x = 2,263.71 × 941.78
4. Step 4: Simplify right side
   1,640.42x = 2,131,916.80
5. Step 5: Solve for x
   x = 2,131,916.80/1,640.42
6. Step 6: Final answer
   x = 1,299.62