Finding the Fourth Proportional to 1,401.63, 1,934.25 and 780.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,401.63 : 1,934.25 = 780.63 : x
2. Step 2: Convert to fraction form
   1,401.63/1,934.25 = 780.63/x
3. Step 3: Cross multiply
   1,401.63x = 1,934.25 × 780.63
4. Step 4: Simplify right side
   1,401.63x = 1,509,933.58
5. Step 5: Solve for x
   x = 1,509,933.58/1,401.63
6. Step 6: Final answer
   x = 1,077.27