Finding the Fourth Proportional to 10,362.64, 14,300.06 and 5,646.84

Step by Step Solution

1. Step 1: Write the proportion equation
   10,362.64 : 14,300.06 = 5,646.84 : x
2. Step 2: Convert to fraction form
   10,362.64/14,300.06 = 5,646.84/x
3. Step 3: Cross multiply
   10,362.64x = 14,300.06 × 5,646.84
4. Step 4: Simplify right side
   10,362.64x = 80,750,150.81
5. Step 5: Solve for x
   x = 80,750,150.81/10,362.64
6. Step 6: Final answer
   x = 7,792.43