Finding the Fourth Proportional to 10,476.61, 14,457.35 and 5,760.86

Step by Step Solution

1. Step 1: Write the proportion equation
   10,476.61 : 14,457.35 = 5,760.86 : x
2. Step 2: Convert to fraction form
   10,476.61/14,457.35 = 5,760.86/x
3. Step 3: Cross multiply
   10,476.61x = 14,457.35 × 5,760.86
4. Step 4: Simplify right side
   10,476.61x = 83,286,711.44
5. Step 5: Solve for x
   x = 83,286,711.44/10,476.61
6. Step 6: Final answer
   x = 7,949.78