Finding the Fourth Proportional to 21,509, 29,682.42 and 12,077.57

Step by Step Solution

1. Step 1: Write the proportion equation
   21,509 : 29,682.42 = 12,077.57 : x
2. Step 2: Convert to fraction form
   21,509/29,682.42 = 12,077.57/x
3. Step 3: Cross multiply
   21,509x = 29,682.42 × 12,077.57
4. Step 4: Simplify right side
   21,509x = 358,491,505.32
5. Step 5: Solve for x
   x = 358,491,505.32/21,509
6. Step 6: Final answer
   x = 16,667.05