Finding the Fourth Proportional to 10,984.86, 16,461 and 5,774.94

Step by Step Solution

1. Step 1: Write the proportion equation
   10,984.86 : 16,461 = 5,774.94 : x
2. Step 2: Convert to fraction form
   10,984.86/16,461 = 5,774.94/x
3. Step 3: Cross multiply
   10,984.86x = 16,461 × 5,774.94
4. Step 4: Simplify right side
   10,984.86x = 95,061,287.34
5. Step 5: Solve for x
   x = 95,061,287.34/10,984.86
6. Step 6: Final answer
   x = 8,653.85