Finding the Fourth Proportional to 1,340.02, 1,849.23 and 780.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,340.02 : 1,849.23 = 780.81 : x
2. Step 2: Convert to fraction form
   1,340.02/1,849.23 = 780.81/x
3. Step 3: Cross multiply
   1,340.02x = 1,849.23 × 780.81
4. Step 4: Simplify right side
   1,340.02x = 1,443,897.28
5. Step 5: Solve for x
   x = 1,443,897.28/1,340.02
6. Step 6: Final answer
   x = 1,077.52