Finding the Fourth Proportional to 1,820.78, 2,731.69 and 588.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,820.78 : 2,731.69 = 588.16 : x
2. Step 2: Convert to fraction form
   1,820.78/2,731.69 = 588.16/x
3. Step 3: Cross multiply
   1,820.78x = 2,731.69 × 588.16
4. Step 4: Simplify right side
   1,820.78x = 1,606,674.94
5. Step 5: Solve for x
   x = 1,606,674.94/1,820.78
6. Step 6: Final answer
   x = 882.41