Finding the Fourth Proportional to 10,415.84, 14,374.22 and 5,700.15

Step by Step Solution

1. Step 1: Write the proportion equation
   10,415.84 : 14,374.22 = 5,700.15 : x
2. Step 2: Convert to fraction form
   10,415.84/14,374.22 = 5,700.15/x
3. Step 3: Cross multiply
   10,415.84x = 14,374.22 × 5,700.15
4. Step 4: Simplify right side
   10,415.84x = 81,935,181.63
5. Step 5: Solve for x
   x = 81,935,181.63/10,415.84
6. Step 6: Final answer
   x = 7,866.41