Finding the Fourth Proportional to 9,214.34, 12,712.17 and 5,671.40

Step by Step Solution

1. Step 1: Write the proportion equation
   9,214.34 : 12,712.17 = 5,671.40 : x
2. Step 2: Convert to fraction form
   9,214.34/12,712.17 = 5,671.40/x
3. Step 3: Cross multiply
   9,214.34x = 12,712.17 × 5,671.40
4. Step 4: Simplify right side
   9,214.34x = 72,095,758.64
5. Step 5: Solve for x
   x = 72,095,758.64/9,214.34
6. Step 6: Final answer
   x = 7,824.30