Finding the Fourth Proportional to 1,377.94, 1,901.10 and 780.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,377.94 : 1,901.10 = 780.37 : x
2. Step 2: Convert to fraction form
   1,377.94/1,901.10 = 780.37/x
3. Step 3: Cross multiply
   1,377.94x = 1,901.10 × 780.37
4. Step 4: Simplify right side
   1,377.94x = 1,483,561.02
5. Step 5: Solve for x
   x = 1,483,561.02/1,377.94
6. Step 6: Final answer
   x = 1,076.65