Finding the Fourth Proportional to 1,292.82, 1,784.06 and 761.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,292.82 : 1,784.06 = 761.76 : x
2. Step 2: Convert to fraction form
   1,292.82/1,784.06 = 761.76/x
3. Step 3: Cross multiply
   1,292.82x = 1,784.06 × 761.76
4. Step 4: Simplify right side
   1,292.82x = 1,359,025.55
5. Step 5: Solve for x
   x = 1,359,025.55/1,292.82
6. Step 6: Final answer
   x = 1,051.21