Finding the Fourth Proportional to 1,064.53, 1,593.83 and 543.40

Step by Step Solution

1. Step 1: Write the proportion equation
   1,064.53 : 1,593.83 = 543.40 : x
2. Step 2: Convert to fraction form
   1,064.53/1,593.83 = 543.40/x
3. Step 3: Cross multiply
   1,064.53x = 1,593.83 × 543.40
4. Step 4: Simplify right side
   1,064.53x = 866,084.51
5. Step 5: Solve for x
   x = 866,084.51/1,064.53
6. Step 6: Final answer
   x = 813.59