Finding the Fourth Proportional to 10,452.63, 14,424.59 and 5,672.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,452.63 : 14,424.59 = 5,672.60 : x
2. Step 2: Convert to fraction form
   10,452.63/14,424.59 = 5,672.60/x
3. Step 3: Cross multiply
   10,452.63x = 14,424.59 × 5,672.60
4. Step 4: Simplify right side
   10,452.63x = 81,824,929.23
5. Step 5: Solve for x
   x = 81,824,929.23/10,452.63
6. Step 6: Final answer
   x = 7,828.17