Finding the Fourth Proportional to 9,838.86, 13,577.72 and 5,362.62

Step by Step Solution

1. Step 1: Write the proportion equation
   9,838.86 : 13,577.72 = 5,362.62 : x
2. Step 2: Convert to fraction form
   9,838.86/13,577.72 = 5,362.62/x
3. Step 3: Cross multiply
   9,838.86x = 13,577.72 × 5,362.62
4. Step 4: Simplify right side
   9,838.86x = 72,812,126.01
5. Step 5: Solve for x
   x = 72,812,126.01/9,838.86
6. Step 6: Final answer
   x = 7,400.46