Finding the Fourth Proportional to 10,478.76, 14,460.70 and 5,762.94

Step by Step Solution

1. Step 1: Write the proportion equation
   10,478.76 : 14,460.70 = 5,762.94 : x
2. Step 2: Convert to fraction form
   10,478.76/14,460.70 = 5,762.94/x
3. Step 3: Cross multiply
   10,478.76x = 14,460.70 × 5,762.94
4. Step 4: Simplify right side
   10,478.76x = 83,336,146.46
5. Step 5: Solve for x
   x = 83,336,146.46/10,478.76
6. Step 6: Final answer
   x = 7,952.86