Finding the Fourth Proportional to 9,622.84, 13,280.76 and 5,645.48

Step by Step Solution

1. Step 1: Write the proportion equation
   9,622.84 : 13,280.76 = 5,645.48 : x
2. Step 2: Convert to fraction form
   9,622.84/13,280.76 = 5,645.48/x
3. Step 3: Cross multiply
   9,622.84x = 13,280.76 × 5,645.48
4. Step 4: Simplify right side
   9,622.84x = 74,976,264.96
5. Step 5: Solve for x
   x = 74,976,264.96/9,622.84
6. Step 6: Final answer
   x = 7,791.49