Finding the Fourth Proportional to 10,411.61, 15,604.00 and 3,830.00

Step by Step Solution

1. Step 1: Write the proportion equation
   10,411.61 : 15,604.00 = 3,830.00 : x
2. Step 2: Convert to fraction form
   10,411.61/15,604.00 = 3,830.00/x
3. Step 3: Cross multiply
   10,411.61x = 15,604.00 × 3,830.00
4. Step 4: Simplify right side
   10,411.61x = 59,763,232.41
5. Step 5: Solve for x
   x = 59,763,232.41/10,411.61
6. Step 6: Final answer
   x = 5,740.06