Finding the Fourth Proportional to 9,827.64, 13,561.83 and 5,847.84

Step by Step Solution

1. Step 1: Write the proportion equation
   9,827.64 : 13,561.83 = 5,847.84 : x
2. Step 2: Convert to fraction form
   9,827.64/13,561.83 = 5,847.84/x
3. Step 3: Cross multiply
   9,827.64x = 13,561.83 × 5,847.84
4. Step 4: Simplify right side
   9,827.64x = 79,307,411.95
5. Step 5: Solve for x
   x = 79,307,411.95/9,827.64
6. Step 6: Final answer
   x = 8,069.83