Finding the Fourth Proportional to 1,010.61, 1,513.78 and 463.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,010.61 : 1,513.78 = 463.25 : x
2. Step 2: Convert to fraction form
   1,010.61/1,513.78 = 463.25/x
3. Step 3: Cross multiply
   1,010.61x = 1,513.78 × 463.25
4. Step 4: Simplify right side
   1,010.61x = 701,258.59
5. Step 5: Solve for x
   x = 701,258.59/1,010.61
6. Step 6: Final answer
   x = 693.90