Finding the Fourth Proportional to 2,978.40, 4,106.16 and 2,511.84

Step by Step Solution

1. Step 1: Write the proportion equation
   2,978.40 : 4,106.16 = 2,511.84 : x
2. Step 2: Convert to fraction form
   2,978.40/4,106.16 = 2,511.84/x
3. Step 3: Cross multiply
   2,978.40x = 4,106.16 × 2,511.84
4. Step 4: Simplify right side
   2,978.40x = 10,314,016.93
5. Step 5: Solve for x
   x = 10,314,016.93/2,978.40
6. Step 6: Final answer
   x = 3,462.94