Finding the Fourth Proportional to 10,392.86, 14,341.60 and 5,916.59

Step by Step Solution

1. Step 1: Write the proportion equation
   10,392.86 : 14,341.60 = 5,916.59 : x
2. Step 2: Convert to fraction form
   10,392.86/14,341.60 = 5,916.59/x
3. Step 3: Cross multiply
   10,392.86x = 14,341.60 × 5,916.59
4. Step 4: Simplify right side
   10,392.86x = 84,853,410.39
5. Step 5: Solve for x
   x = 84,853,410.39/10,392.86
6. Step 6: Final answer
   x = 8,164.59