Finding the Fourth Proportional to 9,784.09, 13,501.68 and 5,802.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,784.09 : 13,501.68 = 5,802.82 : x
2. Step 2: Convert to fraction form
   9,784.09/13,501.68 = 5,802.82/x
3. Step 3: Cross multiply
   9,784.09x = 13,501.68 × 5,802.82
4. Step 4: Simplify right side
   9,784.09x = 78,347,818.74
5. Step 5: Solve for x
   x = 78,347,818.74/9,784.09
6. Step 6: Final answer
   x = 8,007.68