Finding the Fourth Proportional to 9,621.25, 13,280.49 and 5,642.26

Step by Step Solution

1. Step 1: Write the proportion equation
   9,621.25 : 13,280.49 = 5,642.26 : x
2. Step 2: Convert to fraction form
   9,621.25/13,280.49 = 5,642.26/x
3. Step 3: Cross multiply
   9,621.25x = 13,280.49 × 5,642.26
4. Step 4: Simplify right side
   9,621.25x = 74,931,944.31
5. Step 5: Solve for x
   x = 74,931,944.31/9,621.25
6. Step 6: Final answer
   x = 7,788.17