Finding the Fourth Proportional to 1,326.23, 1,830.42 and 766.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,326.23 : 1,830.42 = 766.61 : x
2. Step 2: Convert to fraction form
   1,326.23/1,830.42 = 766.61/x
3. Step 3: Cross multiply
   1,326.23x = 1,830.42 × 766.61
4. Step 4: Simplify right side
   1,326.23x = 1,403,209.12
5. Step 5: Solve for x
   x = 1,403,209.12/1,326.23
6. Step 6: Final answer
   x = 1,058.05