Finding the Fourth Proportional to 1,360.38, 1,877.52 and 770.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,360.38 : 1,877.52 = 770.80 : x
2. Step 2: Convert to fraction form
   1,360.38/1,877.52 = 770.80/x
3. Step 3: Cross multiply
   1,360.38x = 1,877.52 × 770.80
4. Step 4: Simplify right side
   1,360.38x = 1,447,192.42
5. Step 5: Solve for x
   x = 1,447,192.42/1,360.38
6. Step 6: Final answer
   x = 1,063.81