Finding the Fourth Proportional to 1,359.50, 1,875.78 and 770

Step by Step Solution

1. Step 1: Write the proportion equation
   1,359.50 : 1,875.78 = 770 : x
2. Step 2: Convert to fraction form
   1,359.50/1,875.78 = 770/x
3. Step 3: Cross multiply
   1,359.50x = 1,875.78 × 770
4. Step 4: Simplify right side
   1,359.50x = 1,444,350.60
5. Step 5: Solve for x
   x = 1,444,350.60/1,359.50
6. Step 6: Final answer
   x = 1,062.41