Finding the Fourth Proportional to 1,066.61, 1,601.40 and 546.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,066.61 : 1,601.40 = 546.98 : x
2. Step 2: Convert to fraction form
   1,066.61/1,601.40 = 546.98/x
3. Step 3: Cross multiply
   1,066.61x = 1,601.40 × 546.98
4. Step 4: Simplify right side
   1,066.61x = 875,933.82
5. Step 5: Solve for x
   x = 875,933.82/1,066.61
6. Step 6: Final answer
   x = 821.24