Finding the Fourth Proportional to 1,505.72, 2,077.83 and 876.21

Step by Step Solution

1. Step 1: Write the proportion equation
   1,505.72 : 2,077.83 = 876.21 : x
2. Step 2: Convert to fraction form
   1,505.72/2,077.83 = 876.21/x
3. Step 3: Cross multiply
   1,505.72x = 2,077.83 × 876.21
4. Step 4: Simplify right side
   1,505.72x = 1,820,615.42
5. Step 5: Solve for x
   x = 1,820,615.42/1,505.72
6. Step 6: Final answer
   x = 1,209.14