Finding the Fourth Proportional to 1,359.77, 1,876.53 and 770.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,359.77 : 1,876.53 = 770.30 : x
2. Step 2: Convert to fraction form
   1,359.77/1,876.53 = 770.30/x
3. Step 3: Cross multiply
   1,359.77x = 1,876.53 × 770.30
4. Step 4: Simplify right side
   1,359.77x = 1,445,481.68
5. Step 5: Solve for x
   x = 1,445,481.68/1,359.77
6. Step 6: Final answer
   x = 1,063.03