Finding the Fourth Proportional to 1,510.55, 2,267.05 and 780.33

Step by Step Solution

1. Step 1: Write the proportion equation
   1,510.55 : 2,267.05 = 780.33 : x
2. Step 2: Convert to fraction form
   1,510.55/2,267.05 = 780.33/x
3. Step 3: Cross multiply
   1,510.55x = 2,267.05 × 780.33
4. Step 4: Simplify right side
   1,510.55x = 1,769,045.18
5. Step 5: Solve for x
   x = 1,769,045.18/1,510.55
6. Step 6: Final answer
   x = 1,171.13