Finding the Fourth Proportional to 10,752.53, 16,128.65 and 5,206.37

Step by Step Solution

1. Step 1: Write the proportion equation
   10,752.53 : 16,128.65 = 5,206.37 : x
2. Step 2: Convert to fraction form
   10,752.53/16,128.65 = 5,206.37/x
3. Step 3: Cross multiply
   10,752.53x = 16,128.65 × 5,206.37
4. Step 4: Simplify right side
   10,752.53x = 83,971,612.83
5. Step 5: Solve for x
   x = 83,971,612.83/10,752.53
6. Step 6: Final answer
   x = 7,809.48