Finding the Fourth Proportional to 9,780.09, 13,496.16 and 5,798.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,780.09 : 13,496.16 = 5,798.82 : x
2. Step 2: Convert to fraction form
   9,780.09/13,496.16 = 5,798.82/x
3. Step 3: Cross multiply
   9,780.09x = 13,496.16 × 5,798.82
4. Step 4: Simplify right side
   9,780.09x = 78,261,802.53
5. Step 5: Solve for x
   x = 78,261,802.53/9,780.09
6. Step 6: Final answer
   x = 8,002.16