Finding the Fourth Proportional to 5,109.59, 7,663.47 and 1,410.90

Step by Step Solution

1. Step 1: Write the proportion equation
   5,109.59 : 7,663.47 = 1,410.90 : x
2. Step 2: Convert to fraction form
   5,109.59/7,663.47 = 1,410.90/x
3. Step 3: Cross multiply
   5,109.59x = 7,663.47 × 1,410.90
4. Step 4: Simplify right side
   5,109.59x = 10,812,389.82
5. Step 5: Solve for x
   x = 10,812,389.82/5,109.59
6. Step 6: Final answer
   x = 2,116.10