Finding the Fourth Proportional to 1,009.63, 1,513.52 and 461.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,009.63 : 1,513.52 = 461.50 : x
2. Step 2: Convert to fraction form
   1,009.63/1,513.52 = 461.50/x
3. Step 3: Cross multiply
   1,009.63x = 1,513.52 × 461.50
4. Step 4: Simplify right side
   1,009.63x = 698,485.12
5. Step 5: Solve for x
   x = 698,485.12/1,009.63
6. Step 6: Final answer
   x = 691.82