Finding the Fourth Proportional to 1,325.06, 1,828.84 and 765.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,325.06 : 1,828.84 = 765.50 : x
2. Step 2: Convert to fraction form
   1,325.06/1,828.84 = 765.50/x
3. Step 3: Cross multiply
   1,325.06x = 1,828.84 × 765.50
4. Step 4: Simplify right side
   1,325.06x = 1,399,978.76
5. Step 5: Solve for x
   x = 1,399,978.76/1,325.06
6. Step 6: Final answer
   x = 1,056.54