Finding the Fourth Proportional to 1,359.65, 1,876.20 and 770.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,359.65 : 1,876.20 = 770.06 : x
2. Step 2: Convert to fraction form
   1,359.65/1,876.20 = 770.06/x
3. Step 3: Cross multiply
   1,359.65x = 1,876.20 × 770.06
4. Step 4: Simplify right side
   1,359.65x = 1,444,786.57
5. Step 5: Solve for x
   x = 1,444,786.57/1,359.65
6. Step 6: Final answer
   x = 1,062.62