Finding the Fourth Proportional to 11,902.32, 16,387.74 and 10,106.25

Step by Step Solution

1. Step 1: Write the proportion equation
   11,902.32 : 16,387.74 = 10,106.25 : x
2. Step 2: Convert to fraction form
   11,902.32/16,387.74 = 10,106.25/x
3. Step 3: Cross multiply
   11,902.32x = 16,387.74 × 10,106.25
4. Step 4: Simplify right side
   11,902.32x = 165,618,597.38
5. Step 5: Solve for x
   x = 165,618,597.38/11,902.32
6. Step 6: Final answer
   x = 13,914.82