Finding the Fourth Proportional to 9,962.80, 13,747.80 and 5,486.47

Step by Step Solution

1. Step 1: Write the proportion equation
   9,962.80 : 13,747.80 = 5,486.47 : x
2. Step 2: Convert to fraction form
   9,962.80/13,747.80 = 5,486.47/x
3. Step 3: Cross multiply
   9,962.80x = 13,747.80 × 5,486.47
4. Step 4: Simplify right side
   9,962.80x = 75,426,892.27
5. Step 5: Solve for x
   x = 75,426,892.27/9,962.80
6. Step 6: Final answer
   x = 7,570.85