Finding the Fourth Proportional to 9,620.64, 13,273.47 and 5,641.92

Step by Step Solution

1. Step 1: Write the proportion equation
   9,620.64 : 13,273.47 = 5,641.92 : x
2. Step 2: Convert to fraction form
   9,620.64/13,273.47 = 5,641.92/x
3. Step 3: Cross multiply
   9,620.64x = 13,273.47 × 5,641.92
4. Step 4: Simplify right side
   9,620.64x = 74,887,855.86
5. Step 5: Solve for x
   x = 74,887,855.86/9,620.64
6. Step 6: Final answer
   x = 7,784.08