Finding the Fourth Proportional to 9,874.56, 13,622.31 and 5,680.38

Step by Step Solution

1. Step 1: Write the proportion equation
   9,874.56 : 13,622.31 = 5,680.38 : x
2. Step 2: Convert to fraction form
   9,874.56/13,622.31 = 5,680.38/x
3. Step 3: Cross multiply
   9,874.56x = 13,622.31 × 5,680.38
4. Step 4: Simplify right side
   9,874.56x = 77,379,897.28
5. Step 5: Solve for x
   x = 77,379,897.28/9,874.56
6. Step 6: Final answer
   x = 7,836.29