Finding the Fourth Proportional to 2,077.02, 3,116.07 and 778.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,077.02 : 3,116.07 = 778.50 : x
2. Step 2: Convert to fraction form
   2,077.02/3,116.07 = 778.50/x
3. Step 3: Cross multiply
   2,077.02x = 3,116.07 × 778.50
4. Step 4: Simplify right side
   2,077.02x = 2,425,860.50
5. Step 5: Solve for x
   x = 2,425,860.50/2,077.02
6. Step 6: Final answer
   x = 1,167.95