Finding the Fourth Proportional to 2,075.02, 3,113.07 and 776.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,075.02 : 3,113.07 = 776.50 : x
2. Step 2: Convert to fraction form
   2,075.02/3,113.07 = 776.50/x
3. Step 3: Cross multiply
   2,075.02x = 3,113.07 × 776.50
4. Step 4: Simplify right side
   2,075.02x = 2,417,298.86
5. Step 5: Solve for x
   x = 2,417,298.86/2,075.02
6. Step 6: Final answer
   x = 1,164.95