Finding the Fourth Proportional to 1,026.50, 1,536.30 and 781.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,026.50 : 1,536.30 = 781.61 : x
2. Step 2: Convert to fraction form
   1,026.50/1,536.30 = 781.61/x
3. Step 3: Cross multiply
   1,026.50x = 1,536.30 × 781.61
4. Step 4: Simplify right side
   1,026.50x = 1,200,779.76
5. Step 5: Solve for x
   x = 1,200,779.76/1,026.50
6. Step 6: Final answer
   x = 1,169.79