Finding the Fourth Proportional to 2,978.72, 4,466.65 and 1,746.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,978.72 : 4,466.65 = 1,746.50 : x
2. Step 2: Convert to fraction form
   2,978.72/4,466.65 = 1,746.50/x
3. Step 3: Cross multiply
   2,978.72x = 4,466.65 × 1,746.50
4. Step 4: Simplify right side
   2,978.72x = 7,801,004.23
5. Step 5: Solve for x
   x = 7,801,004.23/2,978.72
6. Step 6: Final answer
   x = 2,618.92