Finding the Fourth Proportional to 9,617.60, 13,275.81 and 5,642.04

Step by Step Solution

1. Step 1: Write the proportion equation
   9,617.60 : 13,275.81 = 5,642.04 : x
2. Step 2: Convert to fraction form
   9,617.60/13,275.81 = 5,642.04/x
3. Step 3: Cross multiply
   9,617.60x = 13,275.81 × 5,642.04
4. Step 4: Simplify right side
   9,617.60x = 74,902,651.05
5. Step 5: Solve for x
   x = 74,902,651.05/9,617.60
6. Step 6: Final answer
   x = 7,788.09