Finding the Fourth Proportional to 10,003.14, 13,787.77 and 7,514.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,003.14 : 13,787.77 = 7,514.82 : x
2. Step 2: Convert to fraction form
   10,003.14/13,787.77 = 7,514.82/x
3. Step 3: Cross multiply
   10,003.14x = 13,787.77 × 7,514.82
4. Step 4: Simplify right side
   10,003.14x = 103,612,609.75
5. Step 5: Solve for x
   x = 103,612,609.75/10,003.14
6. Step 6: Final answer
   x = 10,358.01