Finding the Fourth Proportional to 10,479.96, 14,462.82 and 5,764.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,479.96 : 14,462.82 = 5,764.50 : x
2. Step 2: Convert to fraction form
   10,479.96/14,462.82 = 5,764.50/x
3. Step 3: Cross multiply
   10,479.96x = 14,462.82 × 5,764.50
4. Step 4: Simplify right side
   10,479.96x = 83,370,925.89
5. Step 5: Solve for x
   x = 83,370,925.89/10,479.96
6. Step 6: Final answer
   x = 7,955.27