Finding the Fourth Proportional to 1,535.50, 2,302.83 and 918.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,535.50 : 2,302.83 = 918.72 : x
2. Step 2: Convert to fraction form
   1,535.50/2,302.83 = 918.72/x
3. Step 3: Cross multiply
   1,535.50x = 2,302.83 × 918.72
4. Step 4: Simplify right side
   1,535.50x = 2,115,655.98
5. Step 5: Solve for x
   x = 2,115,655.98/1,535.50
6. Step 6: Final answer
   x = 1,377.83