Finding the Fourth Proportional to 5,109.90, 7,665.30 and 1,412.13

Step by Step Solution

1. Step 1: Write the proportion equation
   5,109.90 : 7,665.30 = 1,412.13 : x
2. Step 2: Convert to fraction form
   5,109.90/7,665.30 = 1,412.13/x
3. Step 3: Cross multiply
   5,109.90x = 7,665.30 × 1,412.13
4. Step 4: Simplify right side
   5,109.90x = 10,824,428.83
5. Step 5: Solve for x
   x = 10,824,428.83/5,109.90
6. Step 6: Final answer
   x = 2,118.32