Finding the Fourth Proportional to 1,377.75, 1,901.38 and 780.29

Step by Step Solution

1. Step 1: Write the proportion equation
   1,377.75 : 1,901.38 = 780.29 : x
2. Step 2: Convert to fraction form
   1,377.75/1,901.38 = 780.29/x
3. Step 3: Cross multiply
   1,377.75x = 1,901.38 × 780.29
4. Step 4: Simplify right side
   1,377.75x = 1,483,630.60
5. Step 5: Solve for x
   x = 1,483,630.60/1,377.75
6. Step 6: Final answer
   x = 1,076.85