Finding the Fourth Proportional to 1,640.94, 2,461.86 and 762.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,640.94 : 2,461.86 = 762.72 : x
2. Step 2: Convert to fraction form
   1,640.94/2,461.86 = 762.72/x
3. Step 3: Cross multiply
   1,640.94x = 2,461.86 × 762.72
4. Step 4: Simplify right side
   1,640.94x = 1,877,709.86
5. Step 5: Solve for x
   x = 1,877,709.86/1,640.94
6. Step 6: Final answer
   x = 1,144.29