Finding the Fourth Proportional to 2,978.37, 4,108.73 and 1,782.54

Step by Step Solution

1. Step 1: Write the proportion equation
   2,978.37 : 4,108.73 = 1,782.54 : x
2. Step 2: Convert to fraction form
   2,978.37/4,108.73 = 1,782.54/x
3. Step 3: Cross multiply
   2,978.37x = 4,108.73 × 1,782.54
4. Step 4: Simplify right side
   2,978.37x = 7,323,966.66
5. Step 5: Solve for x
   x = 7,323,966.66/2,978.37
6. Step 6: Final answer
   x = 2,459.05