Finding the Fourth Proportional to 1,525.86, 2,288.52 and 429.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,525.86 : 2,288.52 = 429.98 : x
2. Step 2: Convert to fraction form
   1,525.86/2,288.52 = 429.98/x
3. Step 3: Cross multiply
   1,525.86x = 2,288.52 × 429.98
4. Step 4: Simplify right side
   1,525.86x = 984,006.39
5. Step 5: Solve for x
   x = 984,006.39/1,525.86
6. Step 6: Final answer
   x = 644.89