Finding the Fourth Proportional to 9,978.14, 13,763.03 and 7,284.65

Step by Step Solution

1. Step 1: Write the proportion equation
   9,978.14 : 13,763.03 = 7,284.65 : x
2. Step 2: Convert to fraction form
   9,978.14/13,763.03 = 7,284.65/x
3. Step 3: Cross multiply
   9,978.14x = 13,763.03 × 7,284.65
4. Step 4: Simplify right side
   9,978.14x = 100,258,751.25
5. Step 5: Solve for x
   x = 100,258,751.25/9,978.14
6. Step 6: Final answer
   x = 10,047.84