Finding the Fourth Proportional to 1,353.74, 2,030.00 and 429.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,353.74 : 2,030.00 = 429.12 : x
2. Step 2: Convert to fraction form
   1,353.74/2,030.00 = 429.12/x
3. Step 3: Cross multiply
   1,353.74x = 2,030.00 × 429.12
4. Step 4: Simplify right side
   1,353.74x = 871,111.45
5. Step 5: Solve for x
   x = 871,111.45/1,353.74
6. Step 6: Final answer
   x = 643.49