Finding the Fourth Proportional to 9,619.48, 13,274.42 and 5,585.68

Step by Step Solution

1. Step 1: Write the proportion equation
   9,619.48 : 13,274.42 = 5,585.68 : x
2. Step 2: Convert to fraction form
   9,619.48/13,274.42 = 5,585.68/x
3. Step 3: Cross multiply
   9,619.48x = 13,274.42 × 5,585.68
4. Step 4: Simplify right side
   9,619.48x = 74,146,662.31
5. Step 5: Solve for x
   x = 74,146,662.31/9,619.48
6. Step 6: Final answer
   x = 7,707.97