Finding the Fourth Proportional to 10,496, 14,484.50 and 5,780.72

Step by Step Solution

1. Step 1: Write the proportion equation
   10,496 : 14,484.50 = 5,780.72 : x
2. Step 2: Convert to fraction form
   10,496/14,484.50 = 5,780.72/x
3. Step 3: Cross multiply
   10,496x = 14,484.50 × 5,780.72
4. Step 4: Simplify right side
   10,496x = 83,730,838.84
5. Step 5: Solve for x
   x = 83,730,838.84/10,496
6. Step 6: Final answer
   x = 7,977.40