Finding the Fourth Proportional to 23,875.74, 35,829.15 and 9,084.78

Step by Step Solution

1. Step 1: Write the proportion equation
   23,875.74 : 35,829.15 = 9,084.78 : x
2. Step 2: Convert to fraction form
   23,875.74/35,829.15 = 9,084.78/x
3. Step 3: Cross multiply
   23,875.74x = 35,829.15 × 9,084.78
4. Step 4: Simplify right side
   23,875.74x = 325,499,945.34
5. Step 5: Solve for x
   x = 325,499,945.34/23,875.74
6. Step 6: Final answer
   x = 13,633.08