Finding the Fourth Proportional to 2,978.51, 4,466.79 and 2,784.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,978.51 : 4,466.79 = 2,784.38 : x
2. Step 2: Convert to fraction form
   2,978.51/4,466.79 = 2,784.38/x
3. Step 3: Cross multiply
   2,978.51x = 4,466.79 × 2,784.38
4. Step 4: Simplify right side
   2,978.51x = 12,437,218.41
5. Step 5: Solve for x
   x = 12,437,218.41/2,978.51
6. Step 6: Final answer
   x = 4,175.66