Finding the Fourth Proportional to 1,009.59, 1,513.70 and 316.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,009.59 : 1,513.70 = 316.02 : x
2. Step 2: Convert to fraction form
   1,009.59/1,513.70 = 316.02/x
3. Step 3: Cross multiply
   1,009.59x = 1,513.70 × 316.02
4. Step 4: Simplify right side
   1,009.59x = 478,357.89
5. Step 5: Solve for x
   x = 478,357.89/1,009.59
6. Step 6: Final answer
   x = 473.81