Finding the Fourth Proportional to 10,495.75, 14,484.15 and 5,780.35

Step by Step Solution

1. Step 1: Write the proportion equation
   10,495.75 : 14,484.15 = 5,780.35 : x
2. Step 2: Convert to fraction form
   10,495.75/14,484.15 = 5,780.35/x
3. Step 3: Cross multiply
   10,495.75x = 14,484.15 × 5,780.35
4. Step 4: Simplify right side
   10,495.75x = 83,723,456.45
5. Step 5: Solve for x
   x = 83,723,456.45/10,495.75
6. Step 6: Final answer
   x = 7,976.89