Finding the Fourth Proportional to 1,510.25, 2,264.76 and 585.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,510.25 : 2,264.76 = 585.32 : x
2. Step 2: Convert to fraction form
   1,510.25/2,264.76 = 585.32/x
3. Step 3: Cross multiply
   1,510.25x = 2,264.76 × 585.32
4. Step 4: Simplify right side
   1,510.25x = 1,325,598.00
5. Step 5: Solve for x
   x = 1,325,598.00/1,510.25
6. Step 6: Final answer
   x = 877.74