Finding the Fourth Proportional to 10,256.51, 15,384.78 and 5,870.94

Step by Step Solution

1. Step 1: Write the proportion equation
   10,256.51 : 15,384.78 = 5,870.94 : x
2. Step 2: Convert to fraction form
   10,256.51/15,384.78 = 5,870.94/x
3. Step 3: Cross multiply
   10,256.51x = 15,384.78 × 5,870.94
4. Step 4: Simplify right side
   10,256.51x = 90,323,120.29
5. Step 5: Solve for x
   x = 90,323,120.29/10,256.51
6. Step 6: Final answer
   x = 8,806.42