Finding the Fourth Proportional to 9,827.69, 13,562.51 and 5,635.94

Step by Step Solution

1. Step 1: Write the proportion equation
   9,827.69 : 13,562.51 = 5,635.94 : x
2. Step 2: Convert to fraction form
   9,827.69/13,562.51 = 5,635.94/x
3. Step 3: Cross multiply
   9,827.69x = 13,562.51 × 5,635.94
4. Step 4: Simplify right side
   9,827.69x = 76,437,492.61
5. Step 5: Solve for x
   x = 76,437,492.61/9,827.69
6. Step 6: Final answer
   x = 7,777.77