Finding the Fourth Proportional to 9,962.50, 13,748.25 and 5,546.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,962.50 : 13,748.25 = 5,546.50 : x
2. Step 2: Convert to fraction form
   9,962.50/13,748.25 = 5,546.50/x
3. Step 3: Cross multiply
   9,962.50x = 13,748.25 × 5,546.50
4. Step 4: Simplify right side
   9,962.50x = 76,254,668.63
5. Step 5: Solve for x
   x = 76,254,668.63/9,962.50
6. Step 6: Final answer
   x = 7,654.17