Finding the Fourth Proportional to 10,514.39, 14,510.88 and 7,857.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,514.39 : 14,510.88 = 7,857.20 : x
2. Step 2: Convert to fraction form
   10,514.39/14,510.88 = 7,857.20/x
3. Step 3: Cross multiply
   10,514.39x = 14,510.88 × 7,857.20
4. Step 4: Simplify right side
   10,514.39x = 114,014,886.34
5. Step 5: Solve for x
   x = 114,014,886.34/10,514.39
6. Step 6: Final answer
   x = 10,843.70