Finding the Fourth Proportional to 1,365.05, 1,883.80 and 767.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,365.05 : 1,883.80 = 767.56 : x
2. Step 2: Convert to fraction form
   1,365.05/1,883.80 = 767.56/x
3. Step 3: Cross multiply
   1,365.05x = 1,883.80 × 767.56
4. Step 4: Simplify right side
   1,365.05x = 1,445,925.78
5. Step 5: Solve for x
   x = 1,445,925.78/1,365.05
6. Step 6: Final answer
   x = 1,059.25