Finding the Fourth Proportional to 1,360.50, 1,877.50 and 739.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,360.50 : 1,877.50 = 739.50 : x
2. Step 2: Convert to fraction form
   1,360.50/1,877.50 = 739.50/x
3. Step 3: Cross multiply
   1,360.50x = 1,877.50 × 739.50
4. Step 4: Simplify right side
   1,360.50x = 1,388,411.25
5. Step 5: Solve for x
   x = 1,388,411.25/1,360.50
6. Step 6: Final answer
   x = 1,020.52