Finding the Fourth Proportional to 1,019.64, 1,528.82 and 464.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.64 : 1,528.82 = 464.52 : x
2. Step 2: Convert to fraction form
   1,019.64/1,528.82 = 464.52/x
3. Step 3: Cross multiply
   1,019.64x = 1,528.82 × 464.52
4. Step 4: Simplify right side
   1,019.64x = 710,167.47
5. Step 5: Solve for x
   x = 710,167.47/1,019.64
6. Step 6: Final answer
   x = 696.49