Finding the Fourth Proportional to 10,496.62, 14,485.60 and 5,780.94

Step by Step Solution

1. Step 1: Write the proportion equation
   10,496.62 : 14,485.60 = 5,780.94 : x
2. Step 2: Convert to fraction form
   10,496.62/14,485.60 = 5,780.94/x
3. Step 3: Cross multiply
   10,496.62x = 14,485.60 × 5,780.94
4. Step 4: Simplify right side
   10,496.62x = 83,740,384.46
5. Step 5: Solve for x
   x = 83,740,384.46/10,496.62
6. Step 6: Final answer
   x = 7,977.84