Finding the Fourth Proportional to 1,053.50, 1,580.61 and 590.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,053.50 : 1,580.61 = 590.72 : x
2. Step 2: Convert to fraction form
   1,053.50/1,580.61 = 590.72/x
3. Step 3: Cross multiply
   1,053.50x = 1,580.61 × 590.72
4. Step 4: Simplify right side
   1,053.50x = 933,697.94
5. Step 5: Solve for x
   x = 933,697.94/1,053.50
6. Step 6: Final answer
   x = 886.28