Finding the Fourth Proportional to 10,564.40, 14,578.78 and 5,848.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,564.40 : 14,578.78 = 5,848.56 : x
2. Step 2: Convert to fraction form
   10,564.40/14,578.78 = 5,848.56/x
3. Step 3: Cross multiply
   10,564.40x = 14,578.78 × 5,848.56
4. Step 4: Simplify right side
   10,564.40x = 85,264,869.56
5. Step 5: Solve for x
   x = 85,264,869.56/10,564.40
6. Step 6: Final answer
   x = 8,070.96