Finding the Fourth Proportional to 12,706.34, 19,048.16 and 6,462.86

Step by Step Solution

1. Step 1: Write the proportion equation
   12,706.34 : 19,048.16 = 6,462.86 : x
2. Step 2: Convert to fraction form
   12,706.34/19,048.16 = 6,462.86/x
3. Step 3: Cross multiply
   12,706.34x = 19,048.16 × 6,462.86
4. Step 4: Simplify right side
   12,706.34x = 123,105,591.34
5. Step 5: Solve for x
   x = 123,105,591.34/12,706.34
6. Step 6: Final answer
   x = 9,688.52