Finding the Fourth Proportional to 9,875.78, 14,812.20 and 3,634.34

Step by Step Solution

1. Step 1: Write the proportion equation
   9,875.78 : 14,812.20 = 3,634.34 : x
2. Step 2: Convert to fraction form
   9,875.78/14,812.20 = 3,634.34/x
3. Step 3: Cross multiply
   9,875.78x = 14,812.20 × 3,634.34
4. Step 4: Simplify right side
   9,875.78x = 53,832,496.89
5. Step 5: Solve for x
   x = 53,832,496.89/9,875.78
6. Step 6: Final answer
   x = 5,450.96