Finding the Fourth Proportional to 1,525.34, 2,288.15 and 429.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,525.34 : 2,288.15 = 429.72 : x
2. Step 2: Convert to fraction form
   1,525.34/2,288.15 = 429.72/x
3. Step 3: Cross multiply
   1,525.34x = 2,288.15 × 429.72
4. Step 4: Simplify right side
   1,525.34x = 983,263.82
5. Step 5: Solve for x
   x = 983,263.82/1,525.34
6. Step 6: Final answer
   x = 644.62