Finding the Fourth Proportional to 5,152.28, 7,726.86 and 1,688.72

Step by Step Solution

1. Step 1: Write the proportion equation
   5,152.28 : 7,726.86 = 1,688.72 : x
2. Step 2: Convert to fraction form
   5,152.28/7,726.86 = 1,688.72/x
3. Step 3: Cross multiply
   5,152.28x = 7,726.86 × 1,688.72
4. Step 4: Simplify right side
   5,152.28x = 13,048,503.02
5. Step 5: Solve for x
   x = 13,048,503.02/5,152.28
6. Step 6: Final answer
   x = 2,532.57