Finding the Fourth Proportional to 5,633.96, 7,774.72 and 3,116.17

Step by Step Solution

1. Step 1: Write the proportion equation
   5,633.96 : 7,774.72 = 3,116.17 : x
2. Step 2: Convert to fraction form
   5,633.96/7,774.72 = 3,116.17/x
3. Step 3: Cross multiply
   5,633.96x = 7,774.72 × 3,116.17
4. Step 4: Simplify right side
   5,633.96x = 24,227,351.15
5. Step 5: Solve for x
   x = 24,227,351.15/5,633.96
6. Step 6: Final answer
   x = 4,300.24