Finding the Fourth Proportional to 1,420.18, 1,959.27 and 977.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,420.18 : 1,959.27 = 977.50 : x
2. Step 2: Convert to fraction form
   1,420.18/1,959.27 = 977.50/x
3. Step 3: Cross multiply
   1,420.18x = 1,959.27 × 977.50
4. Step 4: Simplify right side
   1,420.18x = 1,915,186.43
5. Step 5: Solve for x
   x = 1,915,186.43/1,420.18
6. Step 6: Final answer
   x = 1,348.55