Finding the Fourth Proportional to 1,505.52, 2,077.60 and 876.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,505.52 : 2,077.60 = 876.42 : x
2. Step 2: Convert to fraction form
   1,505.52/2,077.60 = 876.42/x
3. Step 3: Cross multiply
   1,505.52x = 2,077.60 × 876.42
4. Step 4: Simplify right side
   1,505.52x = 1,820,835.42
5. Step 5: Solve for x
   x = 1,820,835.42/1,505.52
6. Step 6: Final answer
   x = 1,209.44