Finding the Fourth Proportional to 1,325.94, 1,829.88 and 766.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,325.94 : 1,829.88 = 766.52 : x
2. Step 2: Convert to fraction form
   1,325.94/1,829.88 = 766.52/x
3. Step 3: Cross multiply
   1,325.94x = 1,829.88 × 766.52
4. Step 4: Simplify right side
   1,325.94x = 1,402,630.47
5. Step 5: Solve for x
   x = 1,402,630.47/1,325.94
6. Step 6: Final answer
   x = 1,057.84