Finding the Fourth Proportional to 10,362.41, 14,300.08 and 5,646.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,362.41 : 14,300.08 = 5,646.69 : x
2. Step 2: Convert to fraction form
   10,362.41/14,300.08 = 5,646.69/x
3. Step 3: Cross multiply
   10,362.41x = 14,300.08 × 5,646.69
4. Step 4: Simplify right side
   10,362.41x = 80,748,143.67
5. Step 5: Solve for x
   x = 80,748,143.67/10,362.41
6. Step 6: Final answer
   x = 7,792.41