Finding the Fourth Proportional to 2,978.56, 4,466.46 and 1,746.34

Step by Step Solution

1. Step 1: Write the proportion equation
   2,978.56 : 4,466.46 = 1,746.34 : x
2. Step 2: Convert to fraction form
   2,978.56/4,466.46 = 1,746.34/x
3. Step 3: Cross multiply
   2,978.56x = 4,466.46 × 1,746.34
4. Step 4: Simplify right side
   2,978.56x = 7,799,957.76
5. Step 5: Solve for x
   x = 7,799,957.76/2,978.56
6. Step 6: Final answer
   x = 2,618.70