Finding the Fourth Proportional to 1,152.82, 1,590.99 and 686.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,152.82 : 1,590.99 = 686.98 : x
2. Step 2: Convert to fraction form
   1,152.82/1,590.99 = 686.98/x
3. Step 3: Cross multiply
   1,152.82x = 1,590.99 × 686.98
4. Step 4: Simplify right side
   1,152.82x = 1,092,978.31
5. Step 5: Solve for x
   x = 1,092,978.31/1,152.82
6. Step 6: Final answer
   x = 948.09