Finding the Fourth Proportional to 6,178.16, 8,517.60 and 5,111.99

Step by Step Solution

1. Step 1: Write the proportion equation
   6,178.16 : 8,517.60 = 5,111.99 : x
2. Step 2: Convert to fraction form
   6,178.16/8,517.60 = 5,111.99/x
3. Step 3: Cross multiply
   6,178.16x = 8,517.60 × 5,111.99
4. Step 4: Simplify right side
   6,178.16x = 43,541,907.32
5. Step 5: Solve for x
   x = 43,541,907.32/6,178.16
6. Step 6: Final answer
   x = 7,047.72