Finding the Fourth Proportional to 7,002.54, 9,665.10 and 4,769.82

Step by Step Solution

1. Step 1: Write the proportion equation
   7,002.54 : 9,665.10 = 4,769.82 : x
2. Step 2: Convert to fraction form
   7,002.54/9,665.10 = 4,769.82/x
3. Step 3: Cross multiply
   7,002.54x = 9,665.10 × 4,769.82
4. Step 4: Simplify right side
   7,002.54x = 46,100,787.28
5. Step 5: Solve for x
   x = 46,100,787.28/7,002.54
6. Step 6: Final answer
   x = 6,583.44