Finding the Fourth Proportional to 1,419.81, 1,958.22 and 977.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,419.81 : 1,958.22 = 977.55 : x
2. Step 2: Convert to fraction form
   1,419.81/1,958.22 = 977.55/x
3. Step 3: Cross multiply
   1,419.81x = 1,958.22 × 977.55
4. Step 4: Simplify right side
   1,419.81x = 1,914,257.96
5. Step 5: Solve for x
   x = 1,914,257.96/1,419.81
6. Step 6: Final answer
   x = 1,348.25