Finding the Fourth Proportional to 9,826.02, 13,559.67 and 5,634

Step by Step Solution

1. Step 1: Write the proportion equation
   9,826.02 : 13,559.67 = 5,634 : x
2. Step 2: Convert to fraction form
   9,826.02/13,559.67 = 5,634/x
3. Step 3: Cross multiply
   9,826.02x = 13,559.67 × 5,634
4. Step 4: Simplify right side
   9,826.02x = 76,395,180.78
5. Step 5: Solve for x
   x = 76,395,180.78/9,826.02
6. Step 6: Final answer
   x = 7,774.78