Finding the Fourth Proportional to 9,106.47, 13,684.41 and 4,949.55

Step by Step Solution

1. Step 1: Write the proportion equation
   9,106.47 : 13,684.41 = 4,949.55 : x
2. Step 2: Convert to fraction form
   9,106.47/13,684.41 = 4,949.55/x
3. Step 3: Cross multiply
   9,106.47x = 13,684.41 × 4,949.55
4. Step 4: Simplify right side
   9,106.47x = 67,731,671.52
5. Step 5: Solve for x
   x = 67,731,671.52/9,106.47
6. Step 6: Final answer
   x = 7,437.75