Finding the Fourth Proportional to 10,497.52, 14,486.56 and 5,782.12

Step by Step Solution

1. Step 1: Write the proportion equation
   10,497.52 : 14,486.56 = 5,782.12 : x
2. Step 2: Convert to fraction form
   10,497.52/14,486.56 = 5,782.12/x
3. Step 3: Cross multiply
   10,497.52x = 14,486.56 × 5,782.12
4. Step 4: Simplify right side
   10,497.52x = 83,763,028.31
5. Step 5: Solve for x
   x = 83,763,028.31/10,497.52
6. Step 6: Final answer
   x = 7,979.32