Finding the Fourth Proportional to 1,320.24, 1,978.93 and 588.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,320.24 : 1,978.93 = 588.81 : x
2. Step 2: Convert to fraction form
   1,320.24/1,978.93 = 588.81/x
3. Step 3: Cross multiply
   1,320.24x = 1,978.93 × 588.81
4. Step 4: Simplify right side
   1,320.24x = 1,165,213.77
5. Step 5: Solve for x
   x = 1,165,213.77/1,320.24
6. Step 6: Final answer
   x = 882.58