Finding the Fourth Proportional to 1,513.63, 2,088.75 and 916.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,513.63 : 2,088.75 = 916.27 : x
2. Step 2: Convert to fraction form
   1,513.63/2,088.75 = 916.27/x
3. Step 3: Cross multiply
   1,513.63x = 2,088.75 × 916.27
4. Step 4: Simplify right side
   1,513.63x = 1,913,858.96
5. Step 5: Solve for x
   x = 1,913,858.96/1,513.63
6. Step 6: Final answer
   x = 1,264.42