Finding the Fourth Proportional to 9,827.06, 13,559.82 and 5,634.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,827.06 : 13,559.82 = 5,634.50 : x
2. Step 2: Convert to fraction form
   9,827.06/13,559.82 = 5,634.50/x
3. Step 3: Cross multiply
   9,827.06x = 13,559.82 × 5,634.50
4. Step 4: Simplify right side
   9,827.06x = 76,402,805.79
5. Step 5: Solve for x
   x = 76,402,805.79/9,827.06
6. Step 6: Final answer
   x = 7,774.74