Finding the Fourth Proportional to 10,362.66, 14,300.48 and 5,646.95

Step by Step Solution

1. Step 1: Write the proportion equation
   10,362.66 : 14,300.48 = 5,646.95 : x
2. Step 2: Convert to fraction form
   10,362.66/14,300.48 = 5,646.95/x
3. Step 3: Cross multiply
   10,362.66x = 14,300.48 × 5,646.95
4. Step 4: Simplify right side
   10,362.66x = 80,754,095.54
5. Step 5: Solve for x
   x = 80,754,095.54/10,362.66
6. Step 6: Final answer
   x = 7,792.80