Finding the Fourth Proportional to 6,094.63, 8,414.50 and 4,978.25

Step by Step Solution

1. Step 1: Write the proportion equation
   6,094.63 : 8,414.50 = 4,978.25 : x
2. Step 2: Convert to fraction form
   6,094.63/8,414.50 = 4,978.25/x
3. Step 3: Cross multiply
   6,094.63x = 8,414.50 × 4,978.25
4. Step 4: Simplify right side
   6,094.63x = 41,889,471.00
5. Step 5: Solve for x
   x = 41,889,471.00/6,094.63
6. Step 6: Final answer
   x = 6,873.18