Finding the Fourth Proportional to 10,478.64, 14,458.70 and 5,941.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,478.64 : 14,458.70 = 5,941.10 : x
2. Step 2: Convert to fraction form
   10,478.64/14,458.70 = 5,941.10/x
3. Step 3: Cross multiply
   10,478.64x = 14,458.70 × 5,941.10
4. Step 4: Simplify right side
   10,478.64x = 85,900,582.57
5. Step 5: Solve for x
   x = 85,900,582.57/10,478.64
6. Step 6: Final answer
   x = 8,197.68