Finding the Fourth Proportional to 10,354, 14,287.80 and 5,877.83

Step by Step Solution

1. Step 1: Write the proportion equation
   10,354 : 14,287.80 = 5,877.83 : x
2. Step 2: Convert to fraction form
   10,354/14,287.80 = 5,877.83/x
3. Step 3: Cross multiply
   10,354x = 14,287.80 × 5,877.83
4. Step 4: Simplify right side
   10,354x = 83,981,259.47
5. Step 5: Solve for x
   x = 83,981,259.47/10,354
6. Step 6: Final answer
   x = 8,111.00