Finding the Fourth Proportional to 9,970.30, 13,758.82 and 5,494.47

Step by Step Solution

1. Step 1: Write the proportion equation
   9,970.30 : 13,758.82 = 5,494.47 : x
2. Step 2: Convert to fraction form
   9,970.30/13,758.82 = 5,494.47/x
3. Step 3: Cross multiply
   9,970.30x = 13,758.82 × 5,494.47
4. Step 4: Simplify right side
   9,970.30x = 75,597,423.73
5. Step 5: Solve for x
   x = 75,597,423.73/9,970.30
6. Step 6: Final answer
   x = 7,582.26