Finding the Fourth Proportional to 1,419.72, 1,958.16 and 977.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,419.72 : 1,958.16 = 977.76 : x
2. Step 2: Convert to fraction form
   1,419.72/1,958.16 = 977.76/x
3. Step 3: Cross multiply
   1,419.72x = 1,958.16 × 977.76
4. Step 4: Simplify right side
   1,419.72x = 1,914,610.52
5. Step 5: Solve for x
   x = 1,914,610.52/1,419.72
6. Step 6: Final answer
   x = 1,348.58