Finding the Fourth Proportional to 9,839.32, 13,576.72 and 5,646.76

Step by Step Solution

1. Step 1: Write the proportion equation
   9,839.32 : 13,576.72 = 5,646.76 : x
2. Step 2: Convert to fraction form
   9,839.32/13,576.72 = 5,646.76/x
3. Step 3: Cross multiply
   9,839.32x = 13,576.72 × 5,646.76
4. Step 4: Simplify right side
   9,839.32x = 76,664,479.43
5. Step 5: Solve for x
   x = 76,664,479.43/9,839.32
6. Step 6: Final answer
   x = 7,791.64