Finding the Fourth Proportional to 9,869.78, 13,618.05 and 5,892.18

Step by Step Solution

1. Step 1: Write the proportion equation
   9,869.78 : 13,618.05 = 5,892.18 : x
2. Step 2: Convert to fraction form
   9,869.78/13,618.05 = 5,892.18/x
3. Step 3: Cross multiply
   9,869.78x = 13,618.05 × 5,892.18
4. Step 4: Simplify right side
   9,869.78x = 80,240,001.85
5. Step 5: Solve for x
   x = 80,240,001.85/9,869.78
6. Step 6: Final answer
   x = 8,129.87