Finding the Fourth Proportional to 9,964.35, 13,748.49 and 5,770.17

Step by Step Solution

1. Step 1: Write the proportion equation
   9,964.35 : 13,748.49 = 5,770.17 : x
2. Step 2: Convert to fraction form
   9,964.35/13,748.49 = 5,770.17/x
3. Step 3: Cross multiply
   9,964.35x = 13,748.49 × 5,770.17
4. Step 4: Simplify right side
   9,964.35x = 79,331,124.54
5. Step 5: Solve for x
   x = 79,331,124.54/9,964.35
6. Step 6: Final answer
   x = 7,961.50