Finding the Fourth Proportional to 8,564.64, 11,815.89 and 5,026.56

Step by Step Solution

1. Step 1: Write the proportion equation
   8,564.64 : 11,815.89 = 5,026.56 : x
2. Step 2: Convert to fraction form
   8,564.64/11,815.89 = 5,026.56/x
3. Step 3: Cross multiply
   8,564.64x = 11,815.89 × 5,026.56
4. Step 4: Simplify right side
   8,564.64x = 59,393,280.04
5. Step 5: Solve for x
   x = 59,393,280.04/8,564.64
6. Step 6: Final answer
   x = 6,934.71