Finding the Fourth Proportional to 1,164.34, 1,744.98 and 547.93

Step by Step Solution

1. Step 1: Write the proportion equation
   1,164.34 : 1,744.98 = 547.93 : x
2. Step 2: Convert to fraction form
   1,164.34/1,744.98 = 547.93/x
3. Step 3: Cross multiply
   1,164.34x = 1,744.98 × 547.93
4. Step 4: Simplify right side
   1,164.34x = 956,126.89
5. Step 5: Solve for x
   x = 956,126.89/1,164.34
6. Step 6: Final answer
   x = 821.17