Finding the Fourth Proportional to 10,282.30, 14,189.56 and 5,566.58

Step by Step Solution

1. Step 1: Write the proportion equation
   10,282.30 : 14,189.56 = 5,566.58 : x
2. Step 2: Convert to fraction form
   10,282.30/14,189.56 = 5,566.58/x
3. Step 3: Cross multiply
   10,282.30x = 14,189.56 × 5,566.58
4. Step 4: Simplify right side
   10,282.30x = 78,987,320.56
5. Step 5: Solve for x
   x = 78,987,320.56/10,282.30
6. Step 6: Final answer
   x = 7,681.87