Finding the Fourth Proportional to 1,976.16, 2,962.14 and 742.74

Step by Step Solution

1. Step 1: Write the proportion equation
   1,976.16 : 2,962.14 = 742.74 : x
2. Step 2: Convert to fraction form
   1,976.16/2,962.14 = 742.74/x
3. Step 3: Cross multiply
   1,976.16x = 2,962.14 × 742.74
4. Step 4: Simplify right side
   1,976.16x = 2,200,099.86
5. Step 5: Solve for x
   x = 2,200,099.86/1,976.16
6. Step 6: Final answer
   x = 1,113.32