Finding the Fourth Proportional to 10,561.92, 14,575.68 and 5,846.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,561.92 : 14,575.68 = 5,846.40 : x
2. Step 2: Convert to fraction form
   10,561.92/14,575.68 = 5,846.40/x
3. Step 3: Cross multiply
   10,561.92x = 14,575.68 × 5,846.40
4. Step 4: Simplify right side
   10,561.92x = 85,215,255.55
5. Step 5: Solve for x
   x = 85,215,255.55/10,561.92
6. Step 6: Final answer
   x = 8,068.16