Finding the Fourth Proportional to 9,962.84, 13,748.84 and 5,486.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,962.84 : 13,748.84 = 5,486.50 : x
2. Step 2: Convert to fraction form
   9,962.84/13,748.84 = 5,486.50/x
3. Step 3: Cross multiply
   9,962.84x = 13,748.84 × 5,486.50
4. Step 4: Simplify right side
   9,962.84x = 75,433,010.66
5. Step 5: Solve for x
   x = 75,433,010.66/9,962.84
6. Step 6: Final answer
   x = 7,571.44