Finding the Fourth Proportional to 1,976.20, 2,962.24 and 742.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,976.20 : 2,962.24 = 742.76 : x
2. Step 2: Convert to fraction form
   1,976.20/2,962.24 = 742.76/x
3. Step 3: Cross multiply
   1,976.20x = 2,962.24 × 742.76
4. Step 4: Simplify right side
   1,976.20x = 2,200,233.38
5. Step 5: Solve for x
   x = 2,200,233.38/1,976.20
6. Step 6: Final answer
   x = 1,113.37