Finding the Fourth Proportional to 1,152.34, 1,590.06 and 686.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,152.34 : 1,590.06 = 686.50 : x
2. Step 2: Convert to fraction form
   1,152.34/1,590.06 = 686.50/x
3. Step 3: Cross multiply
   1,152.34x = 1,590.06 × 686.50
4. Step 4: Simplify right side
   1,152.34x = 1,091,576.19
5. Step 5: Solve for x
   x = 1,091,576.19/1,152.34
6. Step 6: Final answer
   x = 947.27