Finding the Fourth Proportional to 10,480, 14,462.80 and 5,764.18

Step by Step Solution

1. Step 1: Write the proportion equation
   10,480 : 14,462.80 = 5,764.18 : x
2. Step 2: Convert to fraction form
   10,480/14,462.80 = 5,764.18/x
3. Step 3: Cross multiply
   10,480x = 14,462.80 × 5,764.18
4. Step 4: Simplify right side
   10,480x = 83,366,182.50
5. Step 5: Solve for x
   x = 83,366,182.50/10,480
6. Step 6: Final answer
   x = 7,954.79