Finding the Fourth Proportional to 10,478.75, 14,460.69 and 5,762.93

Step by Step Solution

1. Step 1: Write the proportion equation
   10,478.75 : 14,460.69 = 5,762.93 : x
2. Step 2: Convert to fraction form
   10,478.75/14,460.69 = 5,762.93/x
3. Step 3: Cross multiply
   10,478.75x = 14,460.69 × 5,762.93
4. Step 4: Simplify right side
   10,478.75x = 83,335,944.22
5. Step 5: Solve for x
   x = 83,335,944.22/10,478.75
6. Step 6: Final answer
   x = 7,952.85