Finding the Fourth Proportional to 10,478.34, 14,460.12 and 5,762.70

Step by Step Solution

1. Step 1: Write the proportion equation
   10,478.34 : 14,460.12 = 5,762.70 : x
2. Step 2: Convert to fraction form
   10,478.34/14,460.12 = 5,762.70/x
3. Step 3: Cross multiply
   10,478.34x = 14,460.12 × 5,762.70
4. Step 4: Simplify right side
   10,478.34x = 83,329,333.52
5. Step 5: Solve for x
   x = 83,329,333.52/10,478.34
6. Step 6: Final answer
   x = 7,952.53