Finding the Fourth Proportional to 10,496.01, 14,484.51 and 5,780.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,496.01 : 14,484.51 = 5,780.30 : x
2. Step 2: Convert to fraction form
   10,496.01/14,484.51 = 5,780.30/x
3. Step 3: Cross multiply
   10,496.01x = 14,484.51 × 5,780.30
4. Step 4: Simplify right side
   10,496.01x = 83,724,813.15
5. Step 5: Solve for x
   x = 83,724,813.15/10,496.01
6. Step 6: Final answer
   x = 7,976.82