Finding the Fourth Proportional to 1,061.37, 1,463.40 and 780.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.37 : 1,463.40 = 780.75 : x
2. Step 2: Convert to fraction form
   1,061.37/1,463.40 = 780.75/x
3. Step 3: Cross multiply
   1,061.37x = 1,463.40 × 780.75
4. Step 4: Simplify right side
   1,061.37x = 1,142,549.55
5. Step 5: Solve for x
   x = 1,142,549.55/1,061.37
6. Step 6: Final answer
   x = 1,076.49