Finding the Fourth Proportional to 1,059.10, 1,588.82 and 538.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,059.10 : 1,588.82 = 538.89 : x
2. Step 2: Convert to fraction form
   1,059.10/1,588.82 = 538.89/x
3. Step 3: Cross multiply
   1,059.10x = 1,588.82 × 538.89
4. Step 4: Simplify right side
   1,059.10x = 856,200.67
5. Step 5: Solve for x
   x = 856,200.67/1,059.10
6. Step 6: Final answer
   x = 808.42