Finding the Fourth Proportional to 12,890.84, 17,788.50 and 7,584.62

Step by Step Solution

1. Step 1: Write the proportion equation
   12,890.84 : 17,788.50 = 7,584.62 : x
2. Step 2: Convert to fraction form
   12,890.84/17,788.50 = 7,584.62/x
3. Step 3: Cross multiply
   12,890.84x = 17,788.50 × 7,584.62
4. Step 4: Simplify right side
   12,890.84x = 134,919,012.87
5. Step 5: Solve for x
   x = 134,919,012.87/12,890.84
6. Step 6: Final answer
   x = 10,466.27