Finding the Fourth Proportional to 9,982.50, 14,973.69 and 2,586.94

Step by Step Solution

1. Step 1: Write the proportion equation
   9,982.50 : 14,973.69 = 2,586.94 : x
2. Step 2: Convert to fraction form
   9,982.50/14,973.69 = 2,586.94/x
3. Step 3: Cross multiply
   9,982.50x = 14,973.69 × 2,586.94
4. Step 4: Simplify right side
   9,982.50x = 38,736,037.61
5. Step 5: Solve for x
   x = 38,736,037.61/9,982.50
6. Step 6: Final answer
   x = 3,880.39