Finding the Fourth Proportional to 1,928.55, 2,892.94 and 542.00

Step by Step Solution

1. Step 1: Write the proportion equation
   1,928.55 : 2,892.94 = 542.00 : x
2. Step 2: Convert to fraction form
   1,928.55/2,892.94 = 542.00/x
3. Step 3: Cross multiply
   1,928.55x = 2,892.94 × 542.00
4. Step 4: Simplify right side
   1,928.55x = 1,567,956.31
5. Step 5: Solve for x
   x = 1,567,956.31/1,928.55
6. Step 6: Final answer
   x = 813.03