Finding the Fourth Proportional to 1,380.56, 2,069.58 and 514.28

Step by Step Solution

1. Step 1: Write the proportion equation
   1,380.56 : 2,069.58 = 514.28 : x
2. Step 2: Convert to fraction form
   1,380.56/2,069.58 = 514.28/x
3. Step 3: Cross multiply
   1,380.56x = 2,069.58 × 514.28
4. Step 4: Simplify right side
   1,380.56x = 1,064,343.60
5. Step 5: Solve for x
   x = 1,064,343.60/1,380.56
6. Step 6: Final answer
   x = 770.95