Finding the Fourth Proportional to 2,314.64, 3,473.40 and 776.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,314.64 : 3,473.40 = 776.72 : x
2. Step 2: Convert to fraction form
   2,314.64/3,473.40 = 776.72/x
3. Step 3: Cross multiply
   2,314.64x = 3,473.40 × 776.72
4. Step 4: Simplify right side
   2,314.64x = 2,697,859.25
5. Step 5: Solve for x
   x = 2,697,859.25/2,314.64
6. Step 6: Final answer
   x = 1,165.56