Finding the Fourth Proportional to 12,071.72, 16,668.42 and 7,824.80

Step by Step Solution

1. Step 1: Write the proportion equation
   12,071.72 : 16,668.42 = 7,824.80 : x
2. Step 2: Convert to fraction form
   12,071.72/16,668.42 = 7,824.80/x
3. Step 3: Cross multiply
   12,071.72x = 16,668.42 × 7,824.80
4. Step 4: Simplify right side
   12,071.72x = 130,427,065.14
5. Step 5: Solve for x
   x = 130,427,065.14/12,071.72
6. Step 6: Final answer
   x = 10,804.35