Finding the Fourth Proportional to 1,688.50, 2,532.51 and 592.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,688.50 : 2,532.51 = 592.82 : x
2. Step 2: Convert to fraction form
   1,688.50/2,532.51 = 592.82/x
3. Step 3: Cross multiply
   1,688.50x = 2,532.51 × 592.82
4. Step 4: Simplify right side
   1,688.50x = 1,501,322.58
5. Step 5: Solve for x
   x = 1,501,322.58/1,688.50
6. Step 6: Final answer
   x = 889.15