Finding the Fourth Proportional to 5,106.51, 7,658.82 and 1,407.94

Step by Step Solution

1. Step 1: Write the proportion equation
   5,106.51 : 7,658.82 = 1,407.94 : x
2. Step 2: Convert to fraction form
   5,106.51/7,658.82 = 1,407.94/x
3. Step 3: Cross multiply
   5,106.51x = 7,658.82 × 1,407.94
4. Step 4: Simplify right side
   5,106.51x = 10,783,139.88
5. Step 5: Solve for x
   x = 10,783,139.88/5,106.51
6. Step 6: Final answer
   x = 2,111.65