Finding the Fourth Proportional to 10,484.64, 14,468.42 and 5,768.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,484.64 : 14,468.42 = 5,768.82 : x
2. Step 2: Convert to fraction form
   10,484.64/14,468.42 = 5,768.82/x
3. Step 3: Cross multiply
   10,484.64x = 14,468.42 × 5,768.82
4. Step 4: Simplify right side
   10,484.64x = 83,465,725.09
5. Step 5: Solve for x
   x = 83,465,725.09/10,484.64
6. Step 6: Final answer
   x = 7,960.76