Finding the Fourth Proportional to 10,495.78, 14,484.30 and 5,779.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,495.78 : 14,484.30 = 5,779.96 : x
2. Step 2: Convert to fraction form
   10,495.78/14,484.30 = 5,779.96/x
3. Step 3: Cross multiply
   10,495.78x = 14,484.30 × 5,779.96
4. Step 4: Simplify right side
   10,495.78x = 83,718,674.63
5. Step 5: Solve for x
   x = 83,718,674.63/10,495.78
6. Step 6: Final answer
   x = 7,976.41