Finding the Fourth Proportional to 9,770.74, 13,483.64 and 5,294.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,770.74 : 13,483.64 = 5,294.50 : x
2. Step 2: Convert to fraction form
   9,770.74/13,483.64 = 5,294.50/x
3. Step 3: Cross multiply
   9,770.74x = 13,483.64 × 5,294.50
4. Step 4: Simplify right side
   9,770.74x = 71,389,057.94
5. Step 5: Solve for x
   x = 71,389,057.94/9,770.74
6. Step 6: Final answer
   x = 7,306.41