Finding the Fourth Proportional to 6,106.47, 8,422.02 and 4,116.30

Step by Step Solution

1. Step 1: Write the proportion equation
   6,106.47 : 8,422.02 = 4,116.30 : x
2. Step 2: Convert to fraction form
   6,106.47/8,422.02 = 4,116.30/x
3. Step 3: Cross multiply
   6,106.47x = 8,422.02 × 4,116.30
4. Step 4: Simplify right side
   6,106.47x = 34,667,560.93
5. Step 5: Solve for x
   x = 34,667,560.93/6,106.47
6. Step 6: Final answer
   x = 5,677.19