Finding the Fourth Proportional to 1,404.61, 2,106.95 and 430.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,404.61 : 2,106.95 = 430.72 : x
2. Step 2: Convert to fraction form
   1,404.61/2,106.95 = 430.72/x
3. Step 3: Cross multiply
   1,404.61x = 2,106.95 × 430.72
4. Step 4: Simplify right side
   1,404.61x = 907,498.08
5. Step 5: Solve for x
   x = 907,498.08/1,404.61
6. Step 6: Final answer
   x = 646.09