Finding the Fourth Proportional to 1,770.20, 2,652.53 and 1,119.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,770.20 : 2,652.53 = 1,119.56 : x
2. Step 2: Convert to fraction form
   1,770.20/2,652.53 = 1,119.56/x
3. Step 3: Cross multiply
   1,770.20x = 2,652.53 × 1,119.56
4. Step 4: Simplify right side
   1,770.20x = 2,969,667.52
5. Step 5: Solve for x
   x = 2,969,667.52/1,770.20
6. Step 6: Final answer
   x = 1,677.59