Finding the Fourth Proportional to 10,564.71, 14,578.62 and 5,848.70

Step by Step Solution

1. Step 1: Write the proportion equation
   10,564.71 : 14,578.62 = 5,848.70 : x
2. Step 2: Convert to fraction form
   10,564.71/14,578.62 = 5,848.70/x
3. Step 3: Cross multiply
   10,564.71x = 14,578.62 × 5,848.70
4. Step 4: Simplify right side
   10,564.71x = 85,265,901.90
5. Step 5: Solve for x
   x = 85,265,901.90/10,564.71
6. Step 6: Final answer
   x = 8,070.82