Finding the Fourth Proportional to 1,365.53, 1,884.43 and 768.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,365.53 : 1,884.43 = 768.05 : x
2. Step 2: Convert to fraction form
   1,365.53/1,884.43 = 768.05/x
3. Step 3: Cross multiply
   1,365.53x = 1,884.43 × 768.05
4. Step 4: Simplify right side
   1,365.53x = 1,447,332.62
5. Step 5: Solve for x
   x = 1,447,332.62/1,365.53
6. Step 6: Final answer
   x = 1,059.91