Finding the Fourth Proportional to 9,182.10, 13,774.60 and 5,488.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,182.10 : 13,774.60 = 5,488.50 : x
2. Step 2: Convert to fraction form
   9,182.10/13,774.60 = 5,488.50/x
3. Step 3: Cross multiply
   9,182.10x = 13,774.60 × 5,488.50
4. Step 4: Simplify right side
   9,182.10x = 75,601,892.10
5. Step 5: Solve for x
   x = 75,601,892.10/9,182.10
6. Step 6: Final answer
   x = 8,233.62