Finding the Fourth Proportional to 10,495.82, 14,484.34 and 5,780.22

Step by Step Solution

1. Step 1: Write the proportion equation
   10,495.82 : 14,484.34 = 5,780.22 : x
2. Step 2: Convert to fraction form
   10,495.82/14,484.34 = 5,780.22/x
3. Step 3: Cross multiply
   10,495.82x = 14,484.34 × 5,780.22
4. Step 4: Simplify right side
   10,495.82x = 83,722,671.75
5. Step 5: Solve for x
   x = 83,722,671.75/10,495.82
6. Step 6: Final answer
   x = 7,976.76