Finding the Fourth Proportional to 6,510.38, 8,985.06 and 3,678.89

Step by Step Solution

1. Step 1: Write the proportion equation
   6,510.38 : 8,985.06 = 3,678.89 : x
2. Step 2: Convert to fraction form
   6,510.38/8,985.06 = 3,678.89/x
3. Step 3: Cross multiply
   6,510.38x = 8,985.06 × 3,678.89
4. Step 4: Simplify right side
   6,510.38x = 33,055,002.46
5. Step 5: Solve for x
   x = 33,055,002.46/6,510.38
6. Step 6: Final answer
   x = 5,077.28