Finding the Fourth Proportional to 10,495.84, 14,484.44 and 5,780.08

Step by Step Solution

1. Step 1: Write the proportion equation
   10,495.84 : 14,484.44 = 5,780.08 : x
2. Step 2: Convert to fraction form
   10,495.84/14,484.44 = 5,780.08/x
3. Step 3: Cross multiply
   10,495.84x = 14,484.44 × 5,780.08
4. Step 4: Simplify right side
   10,495.84x = 83,721,221.96
5. Step 5: Solve for x
   x = 83,721,221.96/10,495.84
6. Step 6: Final answer
   x = 7,976.61