Finding the Fourth Proportional to 3,852.50, 5,779.71 and 1,116.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,852.50 : 5,779.71 = 1,116.50 : x
2. Step 2: Convert to fraction form
   3,852.50/5,779.71 = 1,116.50/x
3. Step 3: Cross multiply
   3,852.50x = 5,779.71 × 1,116.50
4. Step 4: Simplify right side
   3,852.50x = 6,453,046.22
5. Step 5: Solve for x
   x = 6,453,046.22/3,852.50
6. Step 6: Final answer
   x = 1,675.03