Finding the Fourth Proportional to 12,074.61, 16,648.48 and 7,824.12

Step by Step Solution

1. Step 1: Write the proportion equation
   12,074.61 : 16,648.48 = 7,824.12 : x
2. Step 2: Convert to fraction form
   12,074.61/16,648.48 = 7,824.12/x
3. Step 3: Cross multiply
   12,074.61x = 16,648.48 × 7,824.12
4. Step 4: Simplify right side
   12,074.61x = 130,259,652.69
5. Step 5: Solve for x
   x = 130,259,652.69/12,074.61
6. Step 6: Final answer
   x = 10,787.90