Finding the Fourth Proportional to 9,821.88, 13,553.94 and 5,734.46

Step by Step Solution

1. Step 1: Write the proportion equation
   9,821.88 : 13,553.94 = 5,734.46 : x
2. Step 2: Convert to fraction form
   9,821.88/13,553.94 = 5,734.46/x
3. Step 3: Cross multiply
   9,821.88x = 13,553.94 × 5,734.46
4. Step 4: Simplify right side
   9,821.88x = 77,724,498.10
5. Step 5: Solve for x
   x = 77,724,498.10/9,821.88
6. Step 6: Final answer
   x = 7,913.41