Finding the Fourth Proportional to 9,206.16, 12,706.94 and 5,672.32

Step by Step Solution

1. Step 1: Write the proportion equation
   9,206.16 : 12,706.94 = 5,672.32 : x
2. Step 2: Convert to fraction form
   9,206.16/12,706.94 = 5,672.32/x
3. Step 3: Cross multiply
   9,206.16x = 12,706.94 × 5,672.32
4. Step 4: Simplify right side
   9,206.16x = 72,077,829.90
5. Step 5: Solve for x
   x = 72,077,829.90/9,206.16
6. Step 6: Final answer
   x = 7,829.30