Finding the Fourth Proportional to 9,802.86, 13,527.27 and 5,822.34

Step by Step Solution

1. Step 1: Write the proportion equation
   9,802.86 : 13,527.27 = 5,822.34 : x
2. Step 2: Convert to fraction form
   9,802.86/13,527.27 = 5,822.34/x
3. Step 3: Cross multiply
   9,802.86x = 13,527.27 × 5,822.34
4. Step 4: Simplify right side
   9,802.86x = 78,760,365.21
5. Step 5: Solve for x
   x = 78,760,365.21/9,802.86
6. Step 6: Final answer
   x = 8,034.43