Finding the Fourth Proportional to 9,874.89, 13,627.32 and 5,683.14

Step by Step Solution

1. Step 1: Write the proportion equation
   9,874.89 : 13,627.32 = 5,683.14 : x
2. Step 2: Convert to fraction form
   9,874.89/13,627.32 = 5,683.14/x
3. Step 3: Cross multiply
   9,874.89x = 13,627.32 × 5,683.14
4. Step 4: Simplify right side
   9,874.89x = 77,445,967.38
5. Step 5: Solve for x
   x = 77,445,967.38/9,874.89
6. Step 6: Final answer
   x = 7,842.72