Finding the Fourth Proportional to 5,105.32, 7,656.81 and 1,407.87

Step by Step Solution

1. Step 1: Write the proportion equation
   5,105.32 : 7,656.81 = 1,407.87 : x
2. Step 2: Convert to fraction form
   5,105.32/7,656.81 = 1,407.87/x
3. Step 3: Cross multiply
   5,105.32x = 7,656.81 × 1,407.87
4. Step 4: Simplify right side
   5,105.32x = 10,779,787.82
5. Step 5: Solve for x
   x = 10,779,787.82/5,105.32
6. Step 6: Final answer
   x = 2,111.48