Finding the Fourth Proportional to 1,200.94, 1,657.61 and 782.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,200.94 : 1,657.61 = 782.34 : x
2. Step 2: Convert to fraction form
   1,200.94/1,657.61 = 782.34/x
3. Step 3: Cross multiply
   1,200.94x = 1,657.61 × 782.34
4. Step 4: Simplify right side
   1,200.94x = 1,296,814.61
5. Step 5: Solve for x
   x = 1,296,814.61/1,200.94
6. Step 6: Final answer
   x = 1,079.83