Finding the Fourth Proportional to 10,362.60, 14,300.39 and 5,646.88

Step by Step Solution

1. Step 1: Write the proportion equation
   10,362.60 : 14,300.39 = 5,646.88 : x
2. Step 2: Convert to fraction form
   10,362.60/14,300.39 = 5,646.88/x
3. Step 3: Cross multiply
   10,362.60x = 14,300.39 × 5,646.88
4. Step 4: Simplify right side
   10,362.60x = 80,752,522.30
5. Step 5: Solve for x
   x = 80,752,522.30/10,362.60
6. Step 6: Final answer
   x = 7,792.69