Finding the Fourth Proportional to 10,496.26, 14,484.84 and 5,780.55

Step by Step Solution

1. Step 1: Write the proportion equation
   10,496.26 : 14,484.84 = 5,780.55 : x
2. Step 2: Convert to fraction form
   10,496.26/14,484.84 = 5,780.55/x
3. Step 3: Cross multiply
   10,496.26x = 14,484.84 × 5,780.55
4. Step 4: Simplify right side
   10,496.26x = 83,730,341.86
5. Step 5: Solve for x
   x = 83,730,341.86/10,496.26
6. Step 6: Final answer
   x = 7,977.16