Finding the Fourth Proportional to 1,513.59, 2,270.61 and 473.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,513.59 : 2,270.61 = 473.47 : x
2. Step 2: Convert to fraction form
   1,513.59/2,270.61 = 473.47/x
3. Step 3: Cross multiply
   1,513.59x = 2,270.61 × 473.47
4. Step 4: Simplify right side
   1,513.59x = 1,075,065.09
5. Step 5: Solve for x
   x = 1,075,065.09/1,513.59
6. Step 6: Final answer
   x = 710.28