Finding the Fourth Proportional to 9,827.74, 13,562.37 and 5,635.18

Step by Step Solution

1. Step 1: Write the proportion equation
   9,827.74 : 13,562.37 = 5,635.18 : x
2. Step 2: Convert to fraction form
   9,827.74/13,562.37 = 5,635.18/x
3. Step 3: Cross multiply
   9,827.74x = 13,562.37 × 5,635.18
4. Step 4: Simplify right side
   9,827.74x = 76,426,396.18
5. Step 5: Solve for x
   x = 76,426,396.18/9,827.74
6. Step 6: Final answer
   x = 7,776.60