Finding the Fourth Proportional to 9,874.95, 14,820.05 and 3,638.81

Step by Step Solution

1. Step 1: Write the proportion equation
   9,874.95 : 14,820.05 = 3,638.81 : x
2. Step 2: Convert to fraction form
   9,874.95/14,820.05 = 3,638.81/x
3. Step 3: Cross multiply
   9,874.95x = 14,820.05 × 3,638.81
4. Step 4: Simplify right side
   9,874.95x = 53,927,346.14
5. Step 5: Solve for x
   x = 53,927,346.14/9,874.95
6. Step 6: Final answer
   x = 5,461.02