Finding the Fourth Proportional to 10,496.13, 14,484.47 and 5,780.31

Step by Step Solution

1. Step 1: Write the proportion equation
   10,496.13 : 14,484.47 = 5,780.31 : x
2. Step 2: Convert to fraction form
   10,496.13/14,484.47 = 5,780.31/x
3. Step 3: Cross multiply
   10,496.13x = 14,484.47 × 5,780.31
4. Step 4: Simplify right side
   10,496.13x = 83,724,697.88
5. Step 5: Solve for x
   x = 83,724,697.88/10,496.13
6. Step 6: Final answer
   x = 7,976.72