Finding the Fourth Proportional to 1,648.34, 2,470.59 and 916.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,648.34 : 2,470.59 = 916.62 : x
2. Step 2: Convert to fraction form
   1,648.34/2,470.59 = 916.62/x
3. Step 3: Cross multiply
   1,648.34x = 2,470.59 × 916.62
4. Step 4: Simplify right side
   1,648.34x = 2,264,592.21
5. Step 5: Solve for x
   x = 2,264,592.21/1,648.34
6. Step 6: Final answer
   x = 1,373.86