Finding the Fourth Proportional to 12,298.64, 16,973.96 and 7,824.33

Step by Step Solution

1. Step 1: Write the proportion equation
   12,298.64 : 16,973.96 = 7,824.33 : x
2. Step 2: Convert to fraction form
   12,298.64/16,973.96 = 7,824.33/x
3. Step 3: Cross multiply
   12,298.64x = 16,973.96 × 7,824.33
4. Step 4: Simplify right side
   12,298.64x = 132,809,825.33
5. Step 5: Solve for x
   x = 132,809,825.33/12,298.64
6. Step 6: Final answer
   x = 10,798.75