Finding the Fourth Proportional to 10,495.38, 14,483.62 and 5,779.66

Step by Step Solution

1. Step 1: Write the proportion equation
   10,495.38 : 14,483.62 = 5,779.66 : x
2. Step 2: Convert to fraction form
   10,495.38/14,483.62 = 5,779.66/x
3. Step 3: Cross multiply
   10,495.38x = 14,483.62 × 5,779.66
4. Step 4: Simplify right side
   10,495.38x = 83,710,399.17
5. Step 5: Solve for x
   x = 83,710,399.17/10,495.38
6. Step 6: Final answer
   x = 7,975.93