Finding the Fourth Proportional to 2,978, 4,110.12 and 1,735.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,978 : 4,110.12 = 1,735.76 : x
2. Step 2: Convert to fraction form
   2,978/4,110.12 = 1,735.76/x
3. Step 3: Cross multiply
   2,978x = 4,110.12 × 1,735.76
4. Step 4: Simplify right side
   2,978x = 7,134,181.89
5. Step 5: Solve for x
   x = 7,134,181.89/2,978
6. Step 6: Final answer
   x = 2,395.63