Finding the Fourth Proportional to 1,505.76, 2,077.72 and 915.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,505.76 : 2,077.72 = 915.24 : x
2. Step 2: Convert to fraction form
   1,505.76/2,077.72 = 915.24/x
3. Step 3: Cross multiply
   1,505.76x = 2,077.72 × 915.24
4. Step 4: Simplify right side
   1,505.76x = 1,901,612.45
5. Step 5: Solve for x
   x = 1,901,612.45/1,505.76
6. Step 6: Final answer
   x = 1,262.89