Finding the Fourth Proportional to 10,362.56, 14,299.88 and 5,646.86

Step by Step Solution

1. Step 1: Write the proportion equation
   10,362.56 : 14,299.88 = 5,646.86 : x
2. Step 2: Convert to fraction form
   10,362.56/14,299.88 = 5,646.86/x
3. Step 3: Cross multiply
   10,362.56x = 14,299.88 × 5,646.86
4. Step 4: Simplify right side
   10,362.56x = 80,749,420.38
5. Step 5: Solve for x
   x = 80,749,420.38/10,362.56
6. Step 6: Final answer
   x = 7,792.42