Finding the Fourth Proportional to 9,978.84, 14,966.91 and 2,583.36

Step by Step Solution

1. Step 1: Write the proportion equation
   9,978.84 : 14,966.91 = 2,583.36 : x
2. Step 2: Convert to fraction form
   9,978.84/14,966.91 = 2,583.36/x
3. Step 3: Cross multiply
   9,978.84x = 14,966.91 × 2,583.36
4. Step 4: Simplify right side
   9,978.84x = 38,664,916.62
5. Step 5: Solve for x
   x = 38,664,916.62/9,978.84
6. Step 6: Final answer
   x = 3,874.69