Finding the Fourth Proportional to 1,030.76, 1,422.71 and 588.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,030.76 : 1,422.71 = 588.80 : x
2. Step 2: Convert to fraction form
   1,030.76/1,422.71 = 588.80/x
3. Step 3: Cross multiply
   1,030.76x = 1,422.71 × 588.80
4. Step 4: Simplify right side
   1,030.76x = 837,681.59
5. Step 5: Solve for x
   x = 837,681.59/1,030.76
6. Step 6: Final answer
   x = 812.69