Finding the Fourth Proportional to 8,189.64, 12,269.78 and 4,978.10

Step by Step Solution

1. Step 1: Write the proportion equation
   8,189.64 : 12,269.78 = 4,978.10 : x
2. Step 2: Convert to fraction form
   8,189.64/12,269.78 = 4,978.10/x
3. Step 3: Cross multiply
   8,189.64x = 12,269.78 × 4,978.10
4. Step 4: Simplify right side
   8,189.64x = 61,080,191.82
5. Step 5: Solve for x
   x = 61,080,191.82/8,189.64
6. Step 6: Final answer
   x = 7,458.23