Finding the Fourth Proportional to 10,496.40, 14,484.96 and 5,780.64

Step by Step Solution

1. Step 1: Write the proportion equation
   10,496.40 : 14,484.96 = 5,780.64 : x
2. Step 2: Convert to fraction form
   10,496.40/14,484.96 = 5,780.64/x
3. Step 3: Cross multiply
   10,496.40x = 14,484.96 × 5,780.64
4. Step 4: Simplify right side
   10,496.40x = 83,732,339.17
5. Step 5: Solve for x
   x = 83,732,339.17/10,496.40
6. Step 6: Final answer
   x = 7,977.24