Finding the Fourth Proportional to 10,362.86, 14,300.76 and 5,647.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,362.86 : 14,300.76 = 5,647.14 : x
2. Step 2: Convert to fraction form
   10,362.86/14,300.76 = 5,647.14/x
3. Step 3: Cross multiply
   10,362.86x = 14,300.76 × 5,647.14
4. Step 4: Simplify right side
   10,362.86x = 80,758,393.83
5. Step 5: Solve for x
   x = 80,758,393.83/10,362.86
6. Step 6: Final answer
   x = 7,793.06