Finding the Fourth Proportional to 10,564.29, 14,578.52 and 5,848.61

Step by Step Solution

1. Step 1: Write the proportion equation
   10,564.29 : 14,578.52 = 5,848.61 : x
2. Step 2: Convert to fraction form
   10,564.29/14,578.52 = 5,848.61/x
3. Step 3: Cross multiply
   10,564.29x = 14,578.52 × 5,848.61
4. Step 4: Simplify right side
   10,564.29x = 85,263,975.72
5. Step 5: Solve for x
   x = 85,263,975.72/10,564.29
6. Step 6: Final answer
   x = 8,070.96