Finding the Fourth Proportional to 9,102.14, 12,563.00 and 5,956.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,102.14 : 12,563.00 = 5,956.50 : x
2. Step 2: Convert to fraction form
   9,102.14/12,563.00 = 5,956.50/x
3. Step 3: Cross multiply
   9,102.14x = 12,563.00 × 5,956.50
4. Step 4: Simplify right side
   9,102.14x = 74,831,479.72
5. Step 5: Solve for x
   x = 74,831,479.72/9,102.14
6. Step 6: Final answer
   x = 8,221.31