Finding the Fourth Proportional to 14,141.32, 19,514.96 and 7,853.69

Step by Step Solution

1. Step 1: Write the proportion equation
   14,141.32 : 19,514.96 = 7,853.69 : x
2. Step 2: Convert to fraction form
   14,141.32/19,514.96 = 7,853.69/x
3. Step 3: Cross multiply
   14,141.32x = 19,514.96 × 7,853.69
4. Step 4: Simplify right side
   14,141.32x = 153,264,485.17
5. Step 5: Solve for x
   x = 153,264,485.17/14,141.32
6. Step 6: Final answer
   x = 10,838.06