Finding the Fourth Proportional to 1,538.61, 2,305.69 and 659.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,538.61 : 2,305.69 = 659.89 : x
2. Step 2: Convert to fraction form
   1,538.61/2,305.69 = 659.89/x
3. Step 3: Cross multiply
   1,538.61x = 2,305.69 × 659.89
4. Step 4: Simplify right side
   1,538.61x = 1,521,501.77
5. Step 5: Solve for x
   x = 1,521,501.77/1,538.61
6. Step 6: Final answer
   x = 988.88