Finding the Fourth Proportional to 10,640.96, 14,684.64 and 5,925.52

Step by Step Solution

1. Step 1: Write the proportion equation
   10,640.96 : 14,684.64 = 5,925.52 : x
2. Step 2: Convert to fraction form
   10,640.96/14,684.64 = 5,925.52/x
3. Step 3: Cross multiply
   10,640.96x = 14,684.64 × 5,925.52
4. Step 4: Simplify right side
   10,640.96x = 87,014,128.01
5. Step 5: Solve for x
   x = 87,014,128.01/10,640.96
6. Step 6: Final answer
   x = 8,177.28