Finding the Fourth Proportional to 9,962.14, 13,747.84 and 5,486.05

Step by Step Solution

1. Step 1: Write the proportion equation
   9,962.14 : 13,747.84 = 5,486.05 : x
2. Step 2: Convert to fraction form
   9,962.14/13,747.84 = 5,486.05/x
3. Step 3: Cross multiply
   9,962.14x = 13,747.84 × 5,486.05
4. Step 4: Simplify right side
   9,962.14x = 75,421,337.63
5. Step 5: Solve for x
   x = 75,421,337.63/9,962.14
6. Step 6: Final answer
   x = 7,570.80