Finding the Fourth Proportional to 1,325.84, 1,829.61 and 766.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,325.84 : 1,829.61 = 766.34 : x
2. Step 2: Convert to fraction form
   1,325.84/1,829.61 = 766.34/x
3. Step 3: Cross multiply
   1,325.84x = 1,829.61 × 766.34
4. Step 4: Simplify right side
   1,325.84x = 1,402,103.33
5. Step 5: Solve for x
   x = 1,402,103.33/1,325.84
6. Step 6: Final answer
   x = 1,057.52