Finding the Fourth Proportional to 10,495.89, 14,484.29 and 5,780.17

Step by Step Solution

1. Step 1: Write the proportion equation
   10,495.89 : 14,484.29 = 5,780.17 : x
2. Step 2: Convert to fraction form
   10,495.89/14,484.29 = 5,780.17/x
3. Step 3: Cross multiply
   10,495.89x = 14,484.29 × 5,780.17
4. Step 4: Simplify right side
   10,495.89x = 83,721,629.63
5. Step 5: Solve for x
   x = 83,721,629.63/10,495.89
6. Step 6: Final answer
   x = 7,976.61