Finding the Fourth Proportional to 1,340.08, 1,849.42 and 780.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,340.08 : 1,849.42 = 780.76 : x
2. Step 2: Convert to fraction form
   1,340.08/1,849.42 = 780.76/x
3. Step 3: Cross multiply
   1,340.08x = 1,849.42 × 780.76
4. Step 4: Simplify right side
   1,340.08x = 1,443,953.16
5. Step 5: Solve for x
   x = 1,443,953.16/1,340.08
6. Step 6: Final answer
   x = 1,077.51