Finding the Fourth Proportional to 1,419.72, 2,129.59 and 542.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,419.72 : 2,129.59 = 542.62 : x
2. Step 2: Convert to fraction form
   1,419.72/2,129.59 = 542.62/x
3. Step 3: Cross multiply
   1,419.72x = 2,129.59 × 542.62
4. Step 4: Simplify right side
   1,419.72x = 1,155,561.47
5. Step 5: Solve for x
   x = 1,155,561.47/1,419.72
6. Step 6: Final answer
   x = 813.94