Finding the Fourth Proportional to 1,513.10, 2,268.34 and 588.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,513.10 : 2,268.34 = 588.02 : x
2. Step 2: Convert to fraction form
   1,513.10/2,268.34 = 588.02/x
3. Step 3: Cross multiply
   1,513.10x = 2,268.34 × 588.02
4. Step 4: Simplify right side
   1,513.10x = 1,333,829.29
5. Step 5: Solve for x
   x = 1,333,829.29/1,513.10
6. Step 6: Final answer
   x = 881.52