Finding the Fourth Proportional to 9,838.82, 13,577.40 and 5,362.61

Step by Step Solution

1. Step 1: Write the proportion equation
   9,838.82 : 13,577.40 = 5,362.61 : x
2. Step 2: Convert to fraction form
   9,838.82/13,577.40 = 5,362.61/x
3. Step 3: Cross multiply
   9,838.82x = 13,577.40 × 5,362.61
4. Step 4: Simplify right side
   9,838.82x = 72,810,301.01
5. Step 5: Solve for x
   x = 72,810,301.01/9,838.82
6. Step 6: Final answer
   x = 7,400.31