Finding the Fourth Proportional to 1,359.40, 1,876.05 and 770.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,359.40 : 1,876.05 = 770.14 : x
2. Step 2: Convert to fraction form
   1,359.40/1,876.05 = 770.14/x
3. Step 3: Cross multiply
   1,359.40x = 1,876.05 × 770.14
4. Step 4: Simplify right side
   1,359.40x = 1,444,821.15
5. Step 5: Solve for x
   x = 1,444,821.15/1,359.40
6. Step 6: Final answer
   x = 1,062.84