Finding the Fourth Proportional to 1,381.50, 1,906.47 and 760.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,381.50 : 1,906.47 = 760.50 : x
2. Step 2: Convert to fraction form
   1,381.50/1,906.47 = 760.50/x
3. Step 3: Cross multiply
   1,381.50x = 1,906.47 × 760.50
4. Step 4: Simplify right side
   1,381.50x = 1,449,870.44
5. Step 5: Solve for x
   x = 1,449,870.44/1,381.50
6. Step 6: Final answer
   x = 1,049.49