Finding the Fourth Proportional to 9,214.32, 12,715.09 and 5,677.59

Step by Step Solution

1. Step 1: Write the proportion equation
   9,214.32 : 12,715.09 = 5,677.59 : x
2. Step 2: Convert to fraction form
   9,214.32/12,715.09 = 5,677.59/x
3. Step 3: Cross multiply
   9,214.32x = 12,715.09 × 5,677.59
4. Step 4: Simplify right side
   9,214.32x = 72,191,039.45
5. Step 5: Solve for x
   x = 72,191,039.45/9,214.32
6. Step 6: Final answer
   x = 7,834.66