Finding the Fourth Proportional to 10,064.50, 13,859.34 and 9,846.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,064.50 : 13,859.34 = 9,846.14 : x
2. Step 2: Convert to fraction form
   10,064.50/13,859.34 = 9,846.14/x
3. Step 3: Cross multiply
   10,064.50x = 13,859.34 × 9,846.14
4. Step 4: Simplify right side
   10,064.50x = 136,461,001.95
5. Step 5: Solve for x
   x = 136,461,001.95/10,064.50
6. Step 6: Final answer
   x = 13,558.65