Finding the Fourth Proportional to 9,778, 14,667.24 and 3,538.60

Step by Step Solution

1. Step 1: Write the proportion equation
   9,778 : 14,667.24 = 3,538.60 : x
2. Step 2: Convert to fraction form
   9,778/14,667.24 = 3,538.60/x
3. Step 3: Cross multiply
   9,778x = 14,667.24 × 3,538.60
4. Step 4: Simplify right side
   9,778x = 51,901,495.46
5. Step 5: Solve for x
   x = 51,901,495.46/9,778
6. Step 6: Final answer
   x = 5,307.99