Finding the Fourth Proportional to 9,826.61, 13,558.39 and 5,576.74

Step by Step Solution

1. Step 1: Write the proportion equation
   9,826.61 : 13,558.39 = 5,576.74 : x
2. Step 2: Convert to fraction form
   9,826.61/13,558.39 = 5,576.74/x
3. Step 3: Cross multiply
   9,826.61x = 13,558.39 × 5,576.74
4. Step 4: Simplify right side
   9,826.61x = 75,611,615.85
5. Step 5: Solve for x
   x = 75,611,615.85/9,826.61
6. Step 6: Final answer
   x = 7,694.58