Finding the Fourth Proportional to 1,312.42, 1,968.15 and 542.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,312.42 : 1,968.15 = 542.50 : x
2. Step 2: Convert to fraction form
   1,312.42/1,968.15 = 542.50/x
3. Step 3: Cross multiply
   1,312.42x = 1,968.15 × 542.50
4. Step 4: Simplify right side
   1,312.42x = 1,067,721.38
5. Step 5: Solve for x
   x = 1,067,721.38/1,312.42
6. Step 6: Final answer
   x = 813.55