Finding the Fourth Proportional to 9,619.20, 13,277.52 and 5,641.92

Step by Step Solution

1. Step 1: Write the proportion equation
   9,619.20 : 13,277.52 = 5,641.92 : x
2. Step 2: Convert to fraction form
   9,619.20/13,277.52 = 5,641.92/x
3. Step 3: Cross multiply
   9,619.20x = 13,277.52 × 5,641.92
4. Step 4: Simplify right side
   9,619.20x = 74,910,705.64
5. Step 5: Solve for x
   x = 74,910,705.64/9,619.20
6. Step 6: Final answer
   x = 7,787.62