Finding the Fourth Proportional to 10,362.52, 14,300.26 and 5,646.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,362.52 : 14,300.26 = 5,646.80 : x
2. Step 2: Convert to fraction form
   10,362.52/14,300.26 = 5,646.80/x
3. Step 3: Cross multiply
   10,362.52x = 14,300.26 × 5,646.80
4. Step 4: Simplify right side
   10,362.52x = 80,750,636.67
5. Step 5: Solve for x
   x = 80,750,636.67/10,362.52
6. Step 6: Final answer
   x = 7,792.57