Finding the Fourth Proportional to 9,823.68, 13,557.42 and 5,632.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,823.68 : 13,557.42 = 5,632.56 : x
2. Step 2: Convert to fraction form
   9,823.68/13,557.42 = 5,632.56/x
3. Step 3: Cross multiply
   9,823.68x = 13,557.42 × 5,632.56
4. Step 4: Simplify right side
   9,823.68x = 76,362,981.60
5. Step 5: Solve for x
   x = 76,362,981.60/9,823.68
6. Step 6: Final answer
   x = 7,773.36