Finding the Fourth Proportional to 10,478.88, 14,461.20 and 5,763.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,478.88 : 14,461.20 = 5,763.42 : x
2. Step 2: Convert to fraction form
   10,478.88/14,461.20 = 5,763.42/x
3. Step 3: Cross multiply
   10,478.88x = 14,461.20 × 5,763.42
4. Step 4: Simplify right side
   10,478.88x = 83,345,969.30
5. Step 5: Solve for x
   x = 83,345,969.30/10,478.88
6. Step 6: Final answer
   x = 7,953.71