Finding the Fourth Proportional to 6,978.38, 10,461.08 and 4,788.14

Step by Step Solution

1. Step 1: Write the proportion equation
   6,978.38 : 10,461.08 = 4,788.14 : x
2. Step 2: Convert to fraction form
   6,978.38/10,461.08 = 4,788.14/x
3. Step 3: Cross multiply
   6,978.38x = 10,461.08 × 4,788.14
4. Step 4: Simplify right side
   6,978.38x = 50,089,115.59
5. Step 5: Solve for x
   x = 50,089,115.59/6,978.38
6. Step 6: Final answer
   x = 7,177.76