Finding the Fourth Proportional to 1,685.61, 2,513.84 and 1,543.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,685.61 : 2,513.84 = 1,543.86 : x
2. Step 2: Convert to fraction form
   1,685.61/2,513.84 = 1,543.86/x
3. Step 3: Cross multiply
   1,685.61x = 2,513.84 × 1,543.86
4. Step 4: Simplify right side
   1,685.61x = 3,881,009.30
5. Step 5: Solve for x
   x = 3,881,009.30/1,685.61
6. Step 6: Final answer
   x = 2,302.44