Finding the Fourth Proportional to 12,902.76, 19,355.86 and 5,109.74

Step by Step Solution

1. Step 1: Write the proportion equation
   12,902.76 : 19,355.86 = 5,109.74 : x
2. Step 2: Convert to fraction form
   12,902.76/19,355.86 = 5,109.74/x
3. Step 3: Cross multiply
   12,902.76x = 19,355.86 × 5,109.74
4. Step 4: Simplify right side
   12,902.76x = 98,903,412.08
5. Step 5: Solve for x
   x = 98,903,412.08/12,902.76
6. Step 6: Final answer
   x = 7,665.29