Finding the Fourth Proportional to 9,619.10, 13,273.89 and 5,585.30

Step by Step Solution

1. Step 1: Write the proportion equation
   9,619.10 : 13,273.89 = 5,585.30 : x
2. Step 2: Convert to fraction form
   9,619.10/13,273.89 = 5,585.30/x
3. Step 3: Cross multiply
   9,619.10x = 13,273.89 × 5,585.30
4. Step 4: Simplify right side
   9,619.10x = 74,138,591.45
5. Step 5: Solve for x
   x = 74,138,591.45/9,619.10
6. Step 6: Final answer
   x = 7,707.44