Finding the Fourth Proportional to 9,205.41, 13,806.69 and 5,047.47

Step by Step Solution

1. Step 1: Write the proportion equation
   9,205.41 : 13,806.69 = 5,047.47 : x
2. Step 2: Convert to fraction form
   9,205.41/13,806.69 = 5,047.47/x
3. Step 3: Cross multiply
   9,205.41x = 13,806.69 × 5,047.47
4. Step 4: Simplify right side
   9,205.41x = 69,688,853.57
5. Step 5: Solve for x
   x = 69,688,853.57/9,205.41
6. Step 6: Final answer
   x = 7,570.42