Finding the Fourth Proportional to 1,406.31, 1,940.71 and 768.26

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.31 : 1,940.71 = 768.26 : x
2. Step 2: Convert to fraction form
   1,406.31/1,940.71 = 768.26/x
3. Step 3: Cross multiply
   1,406.31x = 1,940.71 × 768.26
4. Step 4: Simplify right side
   1,406.31x = 1,490,961.43
5. Step 5: Solve for x
   x = 1,490,961.43/1,406.31
6. Step 6: Final answer
   x = 1,060.19