Finding the Fourth Proportional to 5,715.64, 7,870.06 and 5,003.51

Step by Step Solution

1. Step 1: Write the proportion equation
   5,715.64 : 7,870.06 = 5,003.51 : x
2. Step 2: Convert to fraction form
   5,715.64/7,870.06 = 5,003.51/x
3. Step 3: Cross multiply
   5,715.64x = 7,870.06 × 5,003.51
4. Step 4: Simplify right side
   5,715.64x = 39,377,890.81
5. Step 5: Solve for x
   x = 39,377,890.81/5,715.64
6. Step 6: Final answer
   x = 6,889.50