Finding the Fourth Proportional to 9,970.78, 14,942.06 and 5,530.40

Step by Step Solution

1. Step 1: Write the proportion equation
   9,970.78 : 14,942.06 = 5,530.40 : x
2. Step 2: Convert to fraction form
   9,970.78/14,942.06 = 5,530.40/x
3. Step 3: Cross multiply
   9,970.78x = 14,942.06 × 5,530.40
4. Step 4: Simplify right side
   9,970.78x = 82,635,568.62
5. Step 5: Solve for x
   x = 82,635,568.62/9,970.78
6. Step 6: Final answer
   x = 8,287.77