Finding the Fourth Proportional to 1,876.37, 2,814.33 and 780.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,876.37 : 2,814.33 = 780.59 : x
2. Step 2: Convert to fraction form
   1,876.37/2,814.33 = 780.59/x
3. Step 3: Cross multiply
   1,876.37x = 2,814.33 × 780.59
4. Step 4: Simplify right side
   1,876.37x = 2,196,837.85
5. Step 5: Solve for x
   x = 2,196,837.85/1,876.37
6. Step 6: Final answer
   x = 1,170.79