Finding the Fourth Proportional to 1,397.94, 2,097.18 and 782.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,397.94 : 2,097.18 = 782.52 : x
2. Step 2: Convert to fraction form
   1,397.94/2,097.18 = 782.52/x
3. Step 3: Cross multiply
   1,397.94x = 2,097.18 × 782.52
4. Step 4: Simplify right side
   1,397.94x = 1,641,085.29
5. Step 5: Solve for x
   x = 1,641,085.29/1,397.94
6. Step 6: Final answer
   x = 1,173.93