Finding the Fourth Proportional to 1,892.54, 2,834.70 and 916.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,892.54 : 2,834.70 = 916.59 : x
2. Step 2: Convert to fraction form
   1,892.54/2,834.70 = 916.59/x
3. Step 3: Cross multiply
   1,892.54x = 2,834.70 × 916.59
4. Step 4: Simplify right side
   1,892.54x = 2,598,271.74
5. Step 5: Solve for x
   x = 2,598,271.74/1,892.54
6. Step 6: Final answer
   x = 1,372.90