Finding the Fourth Proportional to 10,686.29, 14,738.67 and 9,970.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,686.29 : 14,738.67 = 9,970.10 : x
2. Step 2: Convert to fraction form
   10,686.29/14,738.67 = 9,970.10/x
3. Step 3: Cross multiply
   10,686.29x = 14,738.67 × 9,970.10
4. Step 4: Simplify right side
   10,686.29x = 146,946,013.77
5. Step 5: Solve for x
   x = 146,946,013.77/10,686.29
6. Step 6: Final answer
   x = 13,750.89