Finding the Fourth Proportional to 9,486.14, 13,093.43 and 5,506.43

Step by Step Solution

1. Step 1: Write the proportion equation
   9,486.14 : 13,093.43 = 5,506.43 : x
2. Step 2: Convert to fraction form
   9,486.14/13,093.43 = 5,506.43/x
3. Step 3: Cross multiply
   9,486.14x = 13,093.43 × 5,506.43
4. Step 4: Simplify right side
   9,486.14x = 72,097,962.76
5. Step 5: Solve for x
   x = 72,097,962.76/9,486.14
6. Step 6: Final answer
   x = 7,600.35