Finding the Fourth Proportional to 9,826.44, 13,558.96 and 5,633.88

Step by Step Solution

1. Step 1: Write the proportion equation
   9,826.44 : 13,558.96 = 5,633.88 : x
2. Step 2: Convert to fraction form
   9,826.44/13,558.96 = 5,633.88/x
3. Step 3: Cross multiply
   9,826.44x = 13,558.96 × 5,633.88
4. Step 4: Simplify right side
   9,826.44x = 76,389,553.56
5. Step 5: Solve for x
   x = 76,389,553.56/9,826.44
6. Step 6: Final answer
   x = 7,773.88