Finding the Fourth Proportional to 10,496.70, 14,485.38 and 5,780.97

Step by Step Solution

1. Step 1: Write the proportion equation
   10,496.70 : 14,485.38 = 5,780.97 : x
2. Step 2: Convert to fraction form
   10,496.70/14,485.38 = 5,780.97/x
3. Step 3: Cross multiply
   10,496.70x = 14,485.38 × 5,780.97
4. Step 4: Simplify right side
   10,496.70x = 83,739,547.22
5. Step 5: Solve for x
   x = 83,739,547.22/10,496.70
6. Step 6: Final answer
   x = 7,977.70