Finding the Fourth Proportional to 1,525.59, 2,288.52 and 429.97

Step by Step Solution

1. Step 1: Write the proportion equation
   1,525.59 : 2,288.52 = 429.97 : x
2. Step 2: Convert to fraction form
   1,525.59/2,288.52 = 429.97/x
3. Step 3: Cross multiply
   1,525.59x = 2,288.52 × 429.97
4. Step 4: Simplify right side
   1,525.59x = 983,983.50
5. Step 5: Solve for x
   x = 983,983.50/1,525.59
6. Step 6: Final answer
   x = 644.99