Finding the Fourth Proportional to 9,630.56, 13,289.52 and 5,438

Step by Step Solution

1. Step 1: Write the proportion equation
   9,630.56 : 13,289.52 = 5,438 : x
2. Step 2: Convert to fraction form
   9,630.56/13,289.52 = 5,438/x
3. Step 3: Cross multiply
   9,630.56x = 13,289.52 × 5,438
4. Step 4: Simplify right side
   9,630.56x = 72,268,409.76
5. Step 5: Solve for x
   x = 72,268,409.76/9,630.56
6. Step 6: Final answer
   x = 7,504.07