Finding the Fourth Proportional to 10,496.51, 14,484.98 and 5,780.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,496.51 : 14,484.98 = 5,780.69 : x
2. Step 2: Convert to fraction form
   10,496.51/14,484.98 = 5,780.69/x
3. Step 3: Cross multiply
   10,496.51x = 14,484.98 × 5,780.69
4. Step 4: Simplify right side
   10,496.51x = 83,733,121.06
5. Step 5: Solve for x
   x = 83,733,121.06/10,496.51
6. Step 6: Final answer
   x = 7,977.24