Finding the Fourth Proportional to 3,779.83, 5,669.71 and 1,314.64

Step by Step Solution

1. Step 1: Write the proportion equation
   3,779.83 : 5,669.71 = 1,314.64 : x
2. Step 2: Convert to fraction form
   3,779.83/5,669.71 = 1,314.64/x
3. Step 3: Cross multiply
   3,779.83x = 5,669.71 × 1,314.64
4. Step 4: Simplify right side
   3,779.83x = 7,453,627.55
5. Step 5: Solve for x
   x = 7,453,627.55/3,779.83
6. Step 6: Final answer
   x = 1,971.95