Finding the Fourth Proportional to 876.57, 1,314.82 and 760.83

Step by Step Solution

1. Step 1: Write the proportion equation
   876.57 : 1,314.82 = 760.83 : x
2. Step 2: Convert to fraction form
   876.57/1,314.82 = 760.83/x
3. Step 3: Cross multiply
   876.57x = 1,314.82 × 760.83
4. Step 4: Simplify right side
   876.57x = 1,000,354.50
5. Step 5: Solve for x
   x = 1,000,354.50/876.57
6. Step 6: Final answer
   x = 1,141.21