Finding the Fourth Proportional to 3,779.84, 5,669.69 and 1,006.43

Step by Step Solution

1. Step 1: Write the proportion equation
   3,779.84 : 5,669.69 = 1,006.43 : x
2. Step 2: Convert to fraction form
   3,779.84/5,669.69 = 1,006.43/x
3. Step 3: Cross multiply
   3,779.84x = 5,669.69 × 1,006.43
4. Step 4: Simplify right side
   3,779.84x = 5,706,112.73
5. Step 5: Solve for x
   x = 5,706,112.73/3,779.84
6. Step 6: Final answer
   x = 1,509.62