Finding the Fourth Proportional to 9,530.46, 13,152.93 and 5,497.38

Step by Step Solution

1. Step 1: Write the proportion equation
   9,530.46 : 13,152.93 = 5,497.38 : x
2. Step 2: Convert to fraction form
   9,530.46/13,152.93 = 5,497.38/x
3. Step 3: Cross multiply
   9,530.46x = 13,152.93 × 5,497.38
4. Step 4: Simplify right side
   9,530.46x = 72,306,654.32
5. Step 5: Solve for x
   x = 72,306,654.32/9,530.46
6. Step 6: Final answer
   x = 7,586.90