Finding the Fourth Proportional to 9,780.64, 13,494.72 and 5,802.64

Step by Step Solution

1. Step 1: Write the proportion equation
   9,780.64 : 13,494.72 = 5,802.64 : x
2. Step 2: Convert to fraction form
   9,780.64/13,494.72 = 5,802.64/x
3. Step 3: Cross multiply
   9,780.64x = 13,494.72 × 5,802.64
4. Step 4: Simplify right side
   9,780.64x = 78,305,002.06
5. Step 5: Solve for x
   x = 78,305,002.06/9,780.64
6. Step 6: Final answer
   x = 8,006.12