Finding the Fourth Proportional to 1,505.34, 2,256.75 and 1,309.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,505.34 : 2,256.75 = 1,309.86 : x
2. Step 2: Convert to fraction form
   1,505.34/2,256.75 = 1,309.86/x
3. Step 3: Cross multiply
   1,505.34x = 2,256.75 × 1,309.86
4. Step 4: Simplify right side
   1,505.34x = 2,956,026.56
5. Step 5: Solve for x
   x = 2,956,026.56/1,505.34
6. Step 6: Final answer
   x = 1,963.69