Finding the Fourth Proportional to 9,630.42, 13,291.17 and 5,438.64

Step by Step Solution

1. Step 1: Write the proportion equation
   9,630.42 : 13,291.17 = 5,438.64 : x
2. Step 2: Convert to fraction form
   9,630.42/13,291.17 = 5,438.64/x
3. Step 3: Cross multiply
   9,630.42x = 13,291.17 × 5,438.64
4. Step 4: Simplify right side
   9,630.42x = 72,285,888.81
5. Step 5: Solve for x
   x = 72,285,888.81/9,630.42
6. Step 6: Final answer
   x = 7,506.00