Finding the Fourth Proportional to 9,793, 13,514.34 and 5,377

Step by Step Solution

1. Step 1: Write the proportion equation
   9,793 : 13,514.34 = 5,377 : x
2. Step 2: Convert to fraction form
   9,793/13,514.34 = 5,377/x
3. Step 3: Cross multiply
   9,793x = 13,514.34 × 5,377
4. Step 4: Simplify right side
   9,793x = 72,666,606.18
5. Step 5: Solve for x
   x = 72,666,606.18/9,793
6. Step 6: Final answer
   x = 7,420.26