Finding the Fourth Proportional to 9,824.28, 13,558.68 and 5,632.52

Step by Step Solution

1. Step 1: Write the proportion equation
   9,824.28 : 13,558.68 = 5,632.52 : x
2. Step 2: Convert to fraction form
   9,824.28/13,558.68 = 5,632.52/x
3. Step 3: Cross multiply
   9,824.28x = 13,558.68 × 5,632.52
4. Step 4: Simplify right side
   9,824.28x = 76,369,536.27
5. Step 5: Solve for x
   x = 76,369,536.27/9,824.28
6. Step 6: Final answer
   x = 7,773.55