Finding the Fourth Proportional to 1,155.78, 1,594.89 and 782.91

Step by Step Solution

1. Step 1: Write the proportion equation
   1,155.78 : 1,594.89 = 782.91 : x
2. Step 2: Convert to fraction form
   1,155.78/1,594.89 = 782.91/x
3. Step 3: Cross multiply
   1,155.78x = 1,594.89 × 782.91
4. Step 4: Simplify right side
   1,155.78x = 1,248,655.33
5. Step 5: Solve for x
   x = 1,248,655.33/1,155.78
6. Step 6: Final answer
   x = 1,080.36