Finding the Fourth Proportional to 1,510.34, 2,084.10 and 920.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,510.34 : 2,084.10 = 920.96 : x
2. Step 2: Convert to fraction form
   1,510.34/2,084.10 = 920.96/x
3. Step 3: Cross multiply
   1,510.34x = 2,084.10 × 920.96
4. Step 4: Simplify right side
   1,510.34x = 1,919,372.74
5. Step 5: Solve for x
   x = 1,919,372.74/1,510.34
6. Step 6: Final answer
   x = 1,270.82