Finding the Fourth Proportional to 7,780.38, 11,666.78 and 2,584.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,780.38 : 11,666.78 = 2,584.50 : x
2. Step 2: Convert to fraction form
   7,780.38/11,666.78 = 2,584.50/x
3. Step 3: Cross multiply
   7,780.38x = 11,666.78 × 2,584.50
4. Step 4: Simplify right side
   7,780.38x = 30,152,792.91
5. Step 5: Solve for x
   x = 30,152,792.91/7,780.38
6. Step 6: Final answer
   x = 3,875.49