Finding the Fourth Proportional to 10,362.77, 14,300.23 and 5,646.95

Step by Step Solution

1. Step 1: Write the proportion equation
   10,362.77 : 14,300.23 = 5,646.95 : x
2. Step 2: Convert to fraction form
   10,362.77/14,300.23 = 5,646.95/x
3. Step 3: Cross multiply
   10,362.77x = 14,300.23 × 5,646.95
4. Step 4: Simplify right side
   10,362.77x = 80,752,683.80
5. Step 5: Solve for x
   x = 80,752,683.80/10,362.77
6. Step 6: Final answer
   x = 7,792.58