Finding the Fourth Proportional to 1,326.17, 1,829.90 and 766.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,326.17 : 1,829.90 = 766.72 : x
2. Step 2: Convert to fraction form
   1,326.17/1,829.90 = 766.72/x
3. Step 3: Cross multiply
   1,326.17x = 1,829.90 × 766.72
4. Step 4: Simplify right side
   1,326.17x = 1,403,018.27
5. Step 5: Solve for x
   x = 1,403,018.27/1,326.17
6. Step 6: Final answer
   x = 1,057.95