Finding the Fourth Proportional to 12,813.84, 17,677.31 and 7,506.41

Step by Step Solution

1. Step 1: Write the proportion equation
   12,813.84 : 17,677.31 = 7,506.41 : x
2. Step 2: Convert to fraction form
   12,813.84/17,677.31 = 7,506.41/x
3. Step 3: Cross multiply
   12,813.84x = 17,677.31 × 7,506.41
4. Step 4: Simplify right side
   12,813.84x = 132,693,199.52
5. Step 5: Solve for x
   x = 132,693,199.52/12,813.84
6. Step 6: Final answer
   x = 10,355.46