Finding the Fourth Proportional to 10,929.02, 16,399.83 and 5,085.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,929.02 : 16,399.83 = 5,085.60 : x
2. Step 2: Convert to fraction form
   10,929.02/16,399.83 = 5,085.60/x
3. Step 3: Cross multiply
   10,929.02x = 16,399.83 × 5,085.60
4. Step 4: Simplify right side
   10,929.02x = 83,402,975.45
5. Step 5: Solve for x
   x = 83,402,975.45/10,929.02
6. Step 6: Final answer
   x = 7,631.34