Finding the Fourth Proportional to 9,827.12, 13,559.90 and 5,634.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,827.12 : 13,559.90 = 5,634.56 : x
2. Step 2: Convert to fraction form
   9,827.12/13,559.90 = 5,634.56/x
3. Step 3: Cross multiply
   9,827.12x = 13,559.90 × 5,634.56
4. Step 4: Simplify right side
   9,827.12x = 76,404,118.13
5. Step 5: Solve for x
   x = 76,404,118.13/9,827.12
6. Step 6: Final answer
   x = 7,774.82