Finding the Fourth Proportional to 1,007.98, 1,510.56 and 546.01

Step by Step Solution

1. Step 1: Write the proportion equation
   1,007.98 : 1,510.56 = 546.01 : x
2. Step 2: Convert to fraction form
   1,007.98/1,510.56 = 546.01/x
3. Step 3: Cross multiply
   1,007.98x = 1,510.56 × 546.01
4. Step 4: Simplify right side
   1,007.98x = 824,780.87
5. Step 5: Solve for x
   x = 824,780.87/1,007.98
6. Step 6: Final answer
   x = 818.25